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

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


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

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

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

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

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

Combine like terms: -24 + -8 = -32
31 + -21Z = -32 + 6z

Solving
31 + -21Z = -32 + 6z

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 = -32 + -31 + 6z

Combine like terms: 31 + -31 = 0
0 + -21Z = -32 + -31 + 6z
-21Z = -32 + -31 + 6z

Combine like terms: -32 + -31 = -63
-21Z = -63 + 6z

Divide each side by '-21'.
Z = 3 + -0.2857142857z

Simplifying
Z = 3 + -0.2857142857z

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