7(4-3z)+3=-6(x-4)-8

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Solution for 7(4-3z)+3=-6(x-4)-8 equation: 


Simplifying
7(4 + -3z) + 3 = -6(x + -4) + -8
(4 * 7 + -3z * 7) + 3 = -6(x + -4) + -8
(28 + -21z) + 3 = -6(x + -4) + -8

Reorder the terms:
28 + 3 + -21z = -6(x + -4) + -8

Combine like terms: 28 + 3 = 31
31 + -21z = -6(x + -4) + -8

Reorder the terms:
31 + -21z = -6(-4 + x) + -8
31 + -21z = (-4 * -6 + x * -6) + -8
31 + -21z = (24 + -6x) + -8

Reorder the terms:
31 + -21z = 24 + -8 + -6x

Combine like terms: 24 + -8 = 16
31 + -21z = 16 + -6x

Solving
31 + -21z = 16 + -6x

Solving for variable 'z'.

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

Add '-31' to each side of the equation.
31 + -31 + -21z = 16 + -31 + -6x

Combine like terms: 31 + -31 = 0
0 + -21z = 16 + -31 + -6x
-21z = 16 + -31 + -6x

Combine like terms: 16 + -31 = -15
-21z = -15 + -6x

Divide each side by '-21'.
z = 0.7142857143 + 0.2857142857x

Simplifying
z = 0.7142857143 + 0.2857142857x

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