-9(2z+6.5)=29.5-3.5z

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Solution for -9(2z+6.5)=29.5-3.5z equation: 


Simplifying
-9(2z + 6.5) = 29.5 + -3.5z

Reorder the terms:
-9(6.5 + 2z) = 29.5 + -3.5z
(6.5 * -9 + 2z * -9) = 29.5 + -3.5z
(-58.5 + -18z) = 29.5 + -3.5z

Solving
-58.5 + -18z = 29.5 + -3.5z

Solving for variable 'z'.

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

Add '3.5z' to each side of the equation.
-58.5 + -18z + 3.5z = 29.5 + -3.5z + 3.5z

Combine like terms: -18z + 3.5z = -14.5z
-58.5 + -14.5z = 29.5 + -3.5z + 3.5z

Combine like terms: -3.5z + 3.5z = 0.0
-58.5 + -14.5z = 29.5 + 0.0
-58.5 + -14.5z = 29.5

Add '58.5' to each side of the equation.
-58.5 + 58.5 + -14.5z = 29.5 + 58.5

Combine like terms: -58.5 + 58.5 = 0.0
0.0 + -14.5z = 29.5 + 58.5
-14.5z = 29.5 + 58.5

Combine like terms: 29.5 + 58.5 = 88
-14.5z = 88

Divide each side by '-14.5'.
z = -6.068965517

Simplifying
z = -6.068965517

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