7.5(2z+9.5)=-22.5-6z

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Solution for 7.5(2z+9.5)=-22.5-6z equation: 


Simplifying
7.5(2z + 9.5) = -22.5 + -6z

Reorder the terms:
7.5(9.5 + 2z) = -22.5 + -6z
(9.5 * 7.5 + 2z * 7.5) = -22.5 + -6z
(71.25 + 15z) = -22.5 + -6z

Solving
71.25 + 15z = -22.5 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
71.25 + 15z + 6z = -22.5 + -6z + 6z

Combine like terms: 15z + 6z = 21z
71.25 + 21z = -22.5 + -6z + 6z

Combine like terms: -6z + 6z = 0
71.25 + 21z = -22.5 + 0
71.25 + 21z = -22.5

Add '-71.25' to each side of the equation.
71.25 + -71.25 + 21z = -22.5 + -71.25

Combine like terms: 71.25 + -71.25 = 0.00
0.00 + 21z = -22.5 + -71.25
21z = -22.5 + -71.25

Combine like terms: -22.5 + -71.25 = -93.75
21z = -93.75

Divide each side by '21'.
z = -4.464285714

Simplifying
z = -4.464285714

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