Algebra Examples

$73 = - 6 (k - 7) + 6 (k + 5)$

Step 1

Rewrite the equation as $- 6 (k - 7) + 6 (k + 5) = 73$ .

$- 6 (k - 7) + 6 (k + 5) = 73$

Step 2

Simplify $- 6 (k - 7) + 6 (k + 5)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 6 k - 6 \cdot - 7 + 6 (k + 5) = 73$

Step 2.1.2

Multiply $- 6$ by $- 7$ .

$- 6 k + 42 + 6 (k + 5) = 73$

Step 2.1.3

Apply the distributive property.

$- 6 k + 42 + 6 k + 6 \cdot 5 = 73$

Step 2.1.4

Multiply $6$ by $5$ .

$- 6 k + 42 + 6 k + 30 = 73$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Combine the opposite terms in $- 6 k + 42 + 6 k + 30$ .

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Step 2.2.1.1

Add $- 6 k$ and $6 k$ .

$0 + 42 + 30 = 73$

Step 2.2.1.2

Add $0$ and $42$ .

$42 + 30 = 73$

Step 2.2.2

Add $42$ and $30$ .

$72 = 73$

Step 3

Since $72 \neq 73$ , there are no solutions.

No solution