13-.5(6z+18)=-4z-12

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Solution for 13-.5(6z+18)=-4z-12 equation:


Simplifying
13 + -0.5(6z + 18) = -4z + -12

Reorder the terms:
13 + -0.5(18 + 6z) = -4z + -12
13 + (18 * -0.5 + 6z * -0.5) = -4z + -12
13 + (-9 + -3z) = -4z + -12

Combine like terms: 13 + -9 = 4
4 + -3z = -4z + -12

Reorder the terms:
4 + -3z = -12 + -4z

Solving
4 + -3z = -12 + -4z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '4z' to each side of the equation.
4 + -3z + 4z = -12 + -4z + 4z

Combine like terms: -3z + 4z = 1z
4 + 1z = -12 + -4z + 4z

Combine like terms: -4z + 4z = 0
4 + 1z = -12 + 0
4 + 1z = -12

Add '-4' to each side of the equation.
4 + -4 + 1z = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 1z = -12 + -4
1z = -12 + -4

Combine like terms: -12 + -4 = -16
1z = -16

Divide each side by '1'.
z = -16

Simplifying
z = -16

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