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

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


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

Combine like terms: 2 + -6 = -4
8 + -2(-4) = 3(-3z + 7) + 8

Multiply -2 * -4
8 + 8 = 3(-3z + 7) + 8

Combine like terms: 8 + 8 = 16
16 = 3(-3z + 7) + 8

Reorder the terms:
16 = 3(7 + -3z) + 8
16 = (7 * 3 + -3z * 3) + 8
16 = (21 + -9z) + 8

Reorder the terms:
16 = 21 + 8 + -9z

Combine like terms: 21 + 8 = 29
16 = 29 + -9z

Solving
16 = 29 + -9z

Solving for variable 'z'.

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

Add '9z' to each side of the equation.
16 + 9z = 29 + -9z + 9z

Combine like terms: -9z + 9z = 0
16 + 9z = 29 + 0
16 + 9z = 29

Add '-16' to each side of the equation.
16 + -16 + 9z = 29 + -16

Combine like terms: 16 + -16 = 0
0 + 9z = 29 + -16
9z = 29 + -16

Combine like terms: 29 + -16 = 13
9z = 13

Divide each side by '9'.
z = 1.444444444

Simplifying
z = 1.444444444

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