7(4-3z)+3=-6(2-4)-8

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Solution for 7(4-3z)+3=-6(2-4)-8 equation: 


Simplifying
7(4 + -3z) + 3 = -6(2 + -4) + -8
(4 * 7 + -3z * 7) + 3 = -6(2 + -4) + -8
(28 + -21z) + 3 = -6(2 + -4) + -8

Reorder the terms:
28 + 3 + -21z = -6(2 + -4) + -8

Combine like terms: 28 + 3 = 31
31 + -21z = -6(2 + -4) + -8

Combine like terms: 2 + -4 = -2
31 + -21z = -6(-2) + -8

Multiply -6 * -2
31 + -21z = 12 + -8

Combine like terms: 12 + -8 = 4
31 + -21z = 4

Solving
31 + -21z = 4

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 = 4 + -31

Combine like terms: 31 + -31 = 0
0 + -21z = 4 + -31
-21z = 4 + -31

Combine like terms: 4 + -31 = -27
-21z = -27

Divide each side by '-21'.
z = 1.285714286

Simplifying
z = 1.285714286

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