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 '6z' to each side of the equation.
31 + -21z + 6z = -32 + -6z + 6z

Combine like terms: -21z + 6z = -15z
31 + -15z = -32 + -6z + 6z

Combine like terms: -6z + 6z = 0
31 + -15z = -32 + 0
31 + -15z = -32

Add '-31' to each side of the equation.
31 + -31 + -15z = -32 + -31

Combine like terms: 31 + -31 = 0
0 + -15z = -32 + -31
-15z = -32 + -31

Combine like terms: -32 + -31 = -63
-15z = -63

Divide each side by '-15'.
z = 4.2

Simplifying
z = 4.2

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