0.3(4z+5)+59.7=0.7(4z-4)

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Solution for 0.3(4z+5)+59.7=0.7(4z-4) equation: 


Simplifying
0.3(4z + 5) + 59.7 = 0.7(4z + -4)

Reorder the terms:
0.3(5 + 4z) + 59.7 = 0.7(4z + -4)
(5 * 0.3 + 4z * 0.3) + 59.7 = 0.7(4z + -4)
(1.5 + 1.2z) + 59.7 = 0.7(4z + -4)

Reorder the terms:
1.5 + 59.7 + 1.2z = 0.7(4z + -4)

Combine like terms: 1.5 + 59.7 = 61.2
61.2 + 1.2z = 0.7(4z + -4)

Reorder the terms:
61.2 + 1.2z = 0.7(-4 + 4z)
61.2 + 1.2z = (-4 * 0.7 + 4z * 0.7)
61.2 + 1.2z = (-2.8 + 2.8z)

Solving
61.2 + 1.2z = -2.8 + 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.
61.2 + 1.2z + -2.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 1.2z + -2.8z = -1.6z
61.2 + -1.6z = -2.8 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
61.2 + -1.6z = -2.8 + 0.0
61.2 + -1.6z = -2.8

Add '-61.2' to each side of the equation.
61.2 + -61.2 + -1.6z = -2.8 + -61.2

Combine like terms: 61.2 + -61.2 = 0.0
0.0 + -1.6z = -2.8 + -61.2
-1.6z = -2.8 + -61.2

Combine like terms: -2.8 + -61.2 = -64
-1.6z = -64

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

Simplifying
z = 40

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