4(3z+5+7z)-12=0

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Solution for 4(3z+5+7z)-12=0 equation: 


Simplifying
4(3z + 5 + 7z) + -12 = 0

Reorder the terms:
4(5 + 3z + 7z) + -12 = 0

Combine like terms: 3z + 7z = 10z
4(5 + 10z) + -12 = 0
(5 * 4 + 10z * 4) + -12 = 0
(20 + 40z) + -12 = 0

Reorder the terms:
20 + -12 + 40z = 0

Combine like terms: 20 + -12 = 8
8 + 40z = 0

Solving
8 + 40z = 0

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + 40z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 40z = 0 + -8
40z = 0 + -8

Combine like terms: 0 + -8 = -8
40z = -8

Divide each side by '40'.
z = -0.2

Simplifying
z = -0.2

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