17.5=8.5(4.5z+3.5)

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Solution for 17.5=8.5(4.5z+3.5) equation: 


Simplifying
17.5 = 8.5(4.5z + 3.5)

Reorder the terms:
17.5 = 8.5(3.5 + 4.5z)
17.5 = (3.5 * 8.5 + 4.5z * 8.5)
17.5 = (29.75 + 38.25z)

Solving
17.5 = 29.75 + 38.25z

Solving for variable 'z'.

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

Add '-38.25z' to each side of the equation.
17.5 + -38.25z = 29.75 + 38.25z + -38.25z

Combine like terms: 38.25z + -38.25z = 0.00
17.5 + -38.25z = 29.75 + 0.00
17.5 + -38.25z = 29.75

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -38.25z = 29.75 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -38.25z = 29.75 + -17.5
-38.25z = 29.75 + -17.5

Combine like terms: 29.75 + -17.5 = 12.25
-38.25z = 12.25

Divide each side by '-38.25'.
z = -0.3202614379

Simplifying
z = -0.3202614379

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