Algebra Examples

$- 9 (z + 8) = - 9 z - 72$

Step 1

Simplify $- 9 (z + 8)$ .

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Step 1.1

Rewrite.

$0 + 0 - 9 (z + 8) = - 9 z - 72$

Step 1.2

Simplify by adding zeros.

$- 9 (z + 8) = - 9 z - 72$

Step 1.3

Apply the distributive property.

$- 9 z - 9 \cdot 8 = - 9 z - 72$

Step 1.4

Multiply $- 9$ by $8$ .

$- 9 z - 72 = - 9 z - 72$

Step 2

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

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Step 2.1

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

$- 9 z - 72 + 9 z = - 72$

Step 2.2

Combine the opposite terms in $- 9 z - 72 + 9 z$ .

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Step 2.2.1

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

$0 - 72 = - 72$

Step 2.2.2

Subtract $72$ from $0$ .

$- 72 = - 72$

Step 3

Since $- 72 = - 72$ , the equation will always be true.

Always true

Step 4

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$