5(6z+3)=-19.5-4.5z

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Solution for 5(6z+3)=-19.5-4.5z equation: 


Simplifying
5(6z + 3) = -19.5 + -4.5z

Reorder the terms:
5(3 + 6z) = -19.5 + -4.5z
(3 * 5 + 6z * 5) = -19.5 + -4.5z
(15 + 30z) = -19.5 + -4.5z

Solving
15 + 30z = -19.5 + -4.5z

Solving for variable 'z'.

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

Add '4.5z' to each side of the equation.
15 + 30z + 4.5z = -19.5 + -4.5z + 4.5z

Combine like terms: 30z + 4.5z = 34.5z
15 + 34.5z = -19.5 + -4.5z + 4.5z

Combine like terms: -4.5z + 4.5z = 0.0
15 + 34.5z = -19.5 + 0.0
15 + 34.5z = -19.5

Add '-15' to each side of the equation.
15 + -15 + 34.5z = -19.5 + -15

Combine like terms: 15 + -15 = 0
0 + 34.5z = -19.5 + -15
34.5z = -19.5 + -15

Combine like terms: -19.5 + -15 = -34.5
34.5z = -34.5

Divide each side by '34.5'.
z = -1

Simplifying
z = -1

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