Solve for z 6(z+8)=6(z-5)

$6 (z + 8) = 6 (z - 5)$

Simplify $6 (z + 8)$ .

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Apply the distributive property.

$6 z + 6 \cdot 8 = 6 (z - 5)$

Multiply $6$ by $8$ .

$6 z + 48 = 6 (z - 5)$

Simplify $6 (z - 5)$ .

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Apply the distributive property.

$6 z + 48 = 6 z + 6 \cdot - 5$

Multiply $6$ by $- 5$ .

$6 z + 48 = 6 z - 30$

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

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Subtract $6 z$ from both sides of the equation.

$6 z + 48 - 6 z = - 30$

Combine the opposite terms in $6 z + 48 - 6 z$ .

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Subtract $6 z$ from $6 z$ .

$0 + 48 = - 30$

Add $0$ and $48$ .

$48 = - 30$

Since $48 \neq - 30$ , there are no solutions.

No solution

Solve for z 6(z+8)=6(z-5)

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