9.5(5.5z+5)=28.5+7z

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Solution for 9.5(5.5z+5)=28.5+7z equation: 


Simplifying
9.5(5.5z + 5) = 28.5 + 7z

Reorder the terms:
9.5(5 + 5.5z) = 28.5 + 7z
(5 * 9.5 + 5.5z * 9.5) = 28.5 + 7z
(47.5 + 52.25z) = 28.5 + 7z

Solving
47.5 + 52.25z = 28.5 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
47.5 + 52.25z + -7z = 28.5 + 7z + -7z

Combine like terms: 52.25z + -7z = 45.25z
47.5 + 45.25z = 28.5 + 7z + -7z

Combine like terms: 7z + -7z = 0
47.5 + 45.25z = 28.5 + 0
47.5 + 45.25z = 28.5

Add '-47.5' to each side of the equation.
47.5 + -47.5 + 45.25z = 28.5 + -47.5

Combine like terms: 47.5 + -47.5 = 0.0
0.0 + 45.25z = 28.5 + -47.5
45.25z = 28.5 + -47.5

Combine like terms: 28.5 + -47.5 = -19
45.25z = -19

Divide each side by '45.25'.
z = -0.4198895028

Simplifying
z = -0.4198895028

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