Algebra Examples

$- 3 n - (8 n - 7) = n - (n + 4)$

Step 1

Simplify $- 3 n - (8 n - 7)$ .

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Step 1.1

Rewrite.

$- 3 n - (8 n - 7) - n + n = n - (n + 4)$

Step 1.2

Simplify by adding terms.

$- 3 n - (8 n - 7) = n - (n + 4)$

Step 1.3

Simplify each term.

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Step 1.3.1

Apply the distributive property.

$- 3 n - (8 n) - - 7 = n - (n + 4)$

Step 1.3.2

Multiply $8$ by $- 1$ .

$- 3 n - 8 n - - 7 = n - (n + 4)$

Step 1.3.3

Multiply $- 1$ by $- 7$ .

$- 3 n - 8 n + 7 = n - (n + 4)$

$- 3 n - 8 n + 7 = n - (n + 4)$

Step 1.4

Subtract $8 n$ from $- 3 n$ .

$- 11 n + 7 = n - (n + 4)$

$- 11 n + 7 = n - (n + 4)$

Step 2

Simplify $n - (n + 4)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 11 n + 7 = n - n - 1 \cdot 4$

Step 2.1.2

Multiply $- 1$ by $4$ .

$- 11 n + 7 = n - n - 4$

$- 11 n + 7 = n - n - 4$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Subtract $n$ from $n$ .

$- 11 n + 7 = 0 - 4$

Step 2.2.2

Subtract $4$ from $0$ .

$- 11 n + 7 = - 4$

$- 11 n + 7 = - 4$

$- 11 n + 7 = - 4$

Step 3

Move all terms not containing $n$ to the right side of the equation.

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Step 3.1

Subtract $7$ from both sides of the equation.

$- 11 n = - 4 - 7$

Step 3.2

Subtract $7$ from $- 4$ .

$- 11 n = - 11$

$- 11 n = - 11$

Step 4

Divide each term in $- 11 n = - 11$ by $- 11$ and simplify.

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Step 4.1

Divide each term in $- 11 n = - 11$ by $- 11$ .

$\frac{- 11 n}{- 11} = \frac{- 11}{- 11}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 11$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 11 n}{- 11} = \frac{- 11}{- 11}$

Step 4.2.1.2

Divide $n$ by $1$ .

$n = \frac{- 11}{- 11}$

$n = \frac{- 11}{- 11}$

$n = \frac{- 11}{- 11}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 11$ by $- 11$ .

$n = 1$

$n = 1$

$n = 1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$