0.3(2z+7)+25.7=0.7(2z-6)

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Solution for 0.3(2z+7)+25.7=0.7(2z-6) equation: 


Simplifying
0.3(2z + 7) + 25.7 = 0.7(2z + -6)

Reorder the terms:
0.3(7 + 2z) + 25.7 = 0.7(2z + -6)
(7 * 0.3 + 2z * 0.3) + 25.7 = 0.7(2z + -6)
(2.1 + 0.6z) + 25.7 = 0.7(2z + -6)

Reorder the terms:
2.1 + 25.7 + 0.6z = 0.7(2z + -6)

Combine like terms: 2.1 + 25.7 = 27.8
27.8 + 0.6z = 0.7(2z + -6)

Reorder the terms:
27.8 + 0.6z = 0.7(-6 + 2z)
27.8 + 0.6z = (-6 * 0.7 + 2z * 0.7)
27.8 + 0.6z = (-4.2 + 1.4z)

Solving
27.8 + 0.6z = -4.2 + 1.4z

Solving for variable 'z'.

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

Add '-1.4z' to each side of the equation.
27.8 + 0.6z + -1.4z = -4.2 + 1.4z + -1.4z

Combine like terms: 0.6z + -1.4z = -0.8z
27.8 + -0.8z = -4.2 + 1.4z + -1.4z

Combine like terms: 1.4z + -1.4z = 0.0
27.8 + -0.8z = -4.2 + 0.0
27.8 + -0.8z = -4.2

Add '-27.8' to each side of the equation.
27.8 + -27.8 + -0.8z = -4.2 + -27.8

Combine like terms: 27.8 + -27.8 = 0.0
0.0 + -0.8z = -4.2 + -27.8
-0.8z = -4.2 + -27.8

Combine like terms: -4.2 + -27.8 = -32
-0.8z = -32

Divide each side by '-0.8'.
z = 40

Simplifying
z = 40

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