0.3(4z+6)+58.7=0.7(4z-5)

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Solution for 0.3(4z+6)+58.7=0.7(4z-5) equation: 


Simplifying
0.3(4z + 6) + 58.7 = 0.7(4z + -5)

Reorder the terms:
0.3(6 + 4z) + 58.7 = 0.7(4z + -5)
(6 * 0.3 + 4z * 0.3) + 58.7 = 0.7(4z + -5)
(1.8 + 1.2z) + 58.7 = 0.7(4z + -5)

Reorder the terms:
1.8 + 58.7 + 1.2z = 0.7(4z + -5)

Combine like terms: 1.8 + 58.7 = 60.5
60.5 + 1.2z = 0.7(4z + -5)

Reorder the terms:
60.5 + 1.2z = 0.7(-5 + 4z)
60.5 + 1.2z = (-5 * 0.7 + 4z * 0.7)
60.5 + 1.2z = (-3.5 + 2.8z)

Solving
60.5 + 1.2z = -3.5 + 2.8z

Solving for variable 'z'.

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

Add '-2.8z' to each side of the equation.
60.5 + 1.2z + -2.8z = -3.5 + 2.8z + -2.8z

Combine like terms: 1.2z + -2.8z = -1.6z
60.5 + -1.6z = -3.5 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
60.5 + -1.6z = -3.5 + 0.0
60.5 + -1.6z = -3.5

Add '-60.5' to each side of the equation.
60.5 + -60.5 + -1.6z = -3.5 + -60.5

Combine like terms: 60.5 + -60.5 = 0.0
0.0 + -1.6z = -3.5 + -60.5
-1.6z = -3.5 + -60.5

Combine like terms: -3.5 + -60.5 = -64
-1.6z = -64

Divide each side by '-1.6'.
z = 40

Simplifying
z = 40

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