-21.5=-9.5(8.5z-3)

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Solution for -21.5=-9.5(8.5z-3) equation:


Simplifying
-21.5 = -9.5(8.5z + -3)

Reorder the terms:
-21.5 = -9.5(-3 + 8.5z)
-21.5 = (-3 * -9.5 + 8.5z * -9.5)
-21.5 = (28.5 + -80.75z)

Solving
-21.5 = 28.5 + -80.75z

Solving for variable 'z'.

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

Add '80.75z' to each side of the equation.
-21.5 + 80.75z = 28.5 + -80.75z + 80.75z

Combine like terms: -80.75z + 80.75z = 0.00
-21.5 + 80.75z = 28.5 + 0.00
-21.5 + 80.75z = 28.5

Add '21.5' to each side of the equation.
-21.5 + 21.5 + 80.75z = 28.5 + 21.5

Combine like terms: -21.5 + 21.5 = 0.0
0.0 + 80.75z = 28.5 + 21.5
80.75z = 28.5 + 21.5

Combine like terms: 28.5 + 21.5 = 50
80.75z = 50

Divide each side by '80.75'.
z = 0.6191950464

Simplifying
z = 0.6191950464

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