Algebra Examples

$- z - 6 - 7 z = 9 (- z - 2) + 6$

Step 1

Subtract $7 z$ from $- z$ .

$- 8 z - 6 = 9 (- z - 2) + 6$

Step 2

Simplify $9 (- z - 2) + 6$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 8 z - 6 = 9 (- z) + 9 \cdot - 2 + 6$

Step 2.1.2

Multiply $- 1$ by $9$ .

$- 8 z - 6 = - 9 z + 9 \cdot - 2 + 6$

Step 2.1.3

Multiply $9$ by $- 2$ .

$- 8 z - 6 = - 9 z - 18 + 6$

Step 2.2

Add $- 18$ and $6$ .

$- 8 z - 6 = - 9 z - 12$

Step 3

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

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Step 3.1

Add $9 z$ to both sides of the equation.

$- 8 z - 6 + 9 z = - 12$

Step 3.2

Add $- 8 z$ and $9 z$ .

$z - 6 = - 12$

Step 4

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

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Step 4.1

Add $6$ to both sides of the equation.

$z = - 12 + 6$

Step 4.2

Add $- 12$ and $6$ .

$z = - 6$