0.5(3z+5)+12.7=0.7(4z-4)

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Solution for 0.5(3z+5)+12.7=0.7(4z-4) equation:


Simplifying
0.5(3z + 5) + 12.7 = 0.7(4z + -4)

Reorder the terms:
0.5(5 + 3z) + 12.7 = 0.7(4z + -4)
(5 * 0.5 + 3z * 0.5) + 12.7 = 0.7(4z + -4)
(2.5 + 1.5z) + 12.7 = 0.7(4z + -4)

Reorder the terms:
2.5 + 12.7 + 1.5z = 0.7(4z + -4)

Combine like terms: 2.5 + 12.7 = 15.2
15.2 + 1.5z = 0.7(4z + -4)

Reorder the terms:
15.2 + 1.5z = 0.7(-4 + 4z)
15.2 + 1.5z = (-4 * 0.7 + 4z * 0.7)
15.2 + 1.5z = (-2.8 + 2.8z)

Solving
15.2 + 1.5z = -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.
15.2 + 1.5z + -2.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 1.5z + -2.8z = -1.3z
15.2 + -1.3z = -2.8 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
15.2 + -1.3z = -2.8 + 0.0
15.2 + -1.3z = -2.8

Add '-15.2' to each side of the equation.
15.2 + -15.2 + -1.3z = -2.8 + -15.2

Combine like terms: 15.2 + -15.2 = 0.0
0.0 + -1.3z = -2.8 + -15.2
-1.3z = -2.8 + -15.2

Combine like terms: -2.8 + -15.2 = -18
-1.3z = -18

Divide each side by '-1.3'.
z = 13.84615385

Simplifying
z = 13.84615385

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