0.9z+8.25=1.5(2-2z)

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Solution for 0.9z+8.25=1.5(2-2z) equation: 


Simplifying
0.9z + 8.25 = 1.5(2 + -2z)

Reorder the terms:
8.25 + 0.9z = 1.5(2 + -2z)
8.25 + 0.9z = (2 * 1.5 + -2z * 1.5)
8.25 + 0.9z = (3 + -3z)

Solving
8.25 + 0.9z = 3 + -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.
8.25 + 0.9z + 3z = 3 + -3z + 3z

Combine like terms: 0.9z + 3z = 3.9z
8.25 + 3.9z = 3 + -3z + 3z

Combine like terms: -3z + 3z = 0
8.25 + 3.9z = 3 + 0
8.25 + 3.9z = 3

Add '-8.25' to each side of the equation.
8.25 + -8.25 + 3.9z = 3 + -8.25

Combine like terms: 8.25 + -8.25 = 0.00
0.00 + 3.9z = 3 + -8.25
3.9z = 3 + -8.25

Combine like terms: 3 + -8.25 = -5.25
3.9z = -5.25

Divide each side by '3.9'.
z = -1.346153846

Simplifying
z = -1.346153846

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