Algebra Examples

$- 8.2 p + 3.55 = - 0.6 p - 3.45 - 8.6 p$

Step 1

Since $p$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 0.6 p - 3.45 - 8.6 p = - 8.2 p + 3.55$

Step 2

Subtract $8.6 p$ from $- 0.6 p$ .

$- 9.2 p - 3.45 = - 8.2 p + 3.55$

Step 3

Move all terms containing $p$ to the left side of the equation.

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Step 3.1

Add $8.2 p$ to both sides of the equation.

$- 9.2 p - 3.45 + 8.2 p = 3.55$

Step 3.2

Add $- 9.2 p$ and $8.2 p$ .

$- 1 p - 3.45 = 3.55$

Step 4

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

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Step 4.1

Add $3.45$ to both sides of the equation.

$- 1 p = 3.55 + 3.45$

Step 4.2

Add $3.55$ and $3.45$ .

$- 1 p = 7$

Step 5

Divide each term in $- 1 p = 7$ by $- 1$ and simplify.

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Step 5.1

Divide each term in $- 1 p = 7$ by $- 1$ .

$\frac{- 1 p}{- 1} = \frac{7}{- 1}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 1$ .

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Step 5.2.1.1

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- 1 (1) p}{- 1} = \frac{7}{- 1}$

Step 5.2.1.2

Factor $1$ out of $- 1 (1) p$ .

$\frac{1 (- 1 \cdot 1 p)}{- 1} = \frac{7}{- 1}$

Step 5.2.1.3

Move the negative one from the denominator of $\frac{- 1 \cdot 1 p}{- 1}$ .

$- 1 \cdot (- 1 \cdot 1 p) = \frac{7}{- 1}$

Step 5.2.2

Simplify the expression.

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Step 5.2.2.1

Rewrite $- 1 \cdot (- 1 \cdot 1 p)$ as $- (- 1 \cdot 1 p)$ .

$- (- 1 \cdot 1 p) = \frac{7}{- 1}$

Step 5.2.2.2

Multiply $- 1$ by $1$ .

$- (- 1 p) = \frac{7}{- 1}$

Step 5.2.2.3

Rewrite $- 1 p$ as $- p$ .

$- - p = \frac{7}{- 1}$

Step 5.2.3

Multiply $- - p$ .

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Step 5.2.3.1

Multiply $- 1$ by $- 1$ .

$1 p = \frac{7}{- 1}$

Step 5.2.3.2

Multiply $p$ by $1$ .

$p = \frac{7}{- 1}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $7$ by $- 1$ .

$p = - 7$