1.5(4z+8)-16=-2.3(9z-12)

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Solution for 1.5(4z+8)-16=-2.3(9z-12) equation:


Simplifying
1.5(4z + 8) + -16 = -2.3(9z + -12)

Reorder the terms:
1.5(8 + 4z) + -16 = -2.3(9z + -12)
(8 * 1.5 + 4z * 1.5) + -16 = -2.3(9z + -12)
(12 + 6z) + -16 = -2.3(9z + -12)

Reorder the terms:
12 + -16 + 6z = -2.3(9z + -12)

Combine like terms: 12 + -16 = -4
-4 + 6z = -2.3(9z + -12)

Reorder the terms:
-4 + 6z = -2.3(-12 + 9z)
-4 + 6z = (-12 * -2.3 + 9z * -2.3)
-4 + 6z = (27.6 + -20.7z)

Solving
-4 + 6z = 27.6 + -20.7z

Solving for variable 'z'.

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

Add '20.7z' to each side of the equation.
-4 + 6z + 20.7z = 27.6 + -20.7z + 20.7z

Combine like terms: 6z + 20.7z = 26.7z
-4 + 26.7z = 27.6 + -20.7z + 20.7z

Combine like terms: -20.7z + 20.7z = 0.0
-4 + 26.7z = 27.6 + 0.0
-4 + 26.7z = 27.6

Add '4' to each side of the equation.
-4 + 4 + 26.7z = 27.6 + 4

Combine like terms: -4 + 4 = 0
0 + 26.7z = 27.6 + 4
26.7z = 27.6 + 4

Combine like terms: 27.6 + 4 = 31.6
26.7z = 31.6

Divide each side by '26.7'.
z = 1.183520599

Simplifying
z = 1.183520599

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