8.5(7.5z+9.5)=-30.5+3z

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Solution for 8.5(7.5z+9.5)=-30.5+3z equation: 


Simplifying
8.5(7.5z + 9.5) = -30.5 + 3z

Reorder the terms:
8.5(9.5 + 7.5z) = -30.5 + 3z
(9.5 * 8.5 + 7.5z * 8.5) = -30.5 + 3z
(80.75 + 63.75z) = -30.5 + 3z

Solving
80.75 + 63.75z = -30.5 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
80.75 + 63.75z + -3z = -30.5 + 3z + -3z

Combine like terms: 63.75z + -3z = 60.75z
80.75 + 60.75z = -30.5 + 3z + -3z

Combine like terms: 3z + -3z = 0
80.75 + 60.75z = -30.5 + 0
80.75 + 60.75z = -30.5

Add '-80.75' to each side of the equation.
80.75 + -80.75 + 60.75z = -30.5 + -80.75

Combine like terms: 80.75 + -80.75 = 0.00
0.00 + 60.75z = -30.5 + -80.75
60.75z = -30.5 + -80.75

Combine like terms: -30.5 + -80.75 = -111.25
60.75z = -111.25

Divide each side by '60.75'.
z = -1.83127572

Simplifying
z = -1.83127572

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