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 = -2.1z
8.25 + -2.1z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
8.25 + -2.1z = 3 + 0
8.25 + -2.1z = 3

Add '-8.25' to each side of the equation.
8.25 + -8.25 + -2.1z = 3 + -8.25

Combine like terms: 8.25 + -8.25 = 0.00
0.00 + -2.1z = 3 + -8.25
-2.1z = 3 + -8.25

Combine like terms: 3 + -8.25 = -5.25
-2.1z = -5.25

Divide each side by '-2.1'.
z = 2.5

Simplifying
z = 2.5

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