6+(-2z+9)=4(7z-1)+8

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Solution for 6+(-2z+9)=4(7z-1)+8 equation: 


Simplifying
6 + (-2z + 9) = 4(7z + -1) + 8

Reorder the terms:
6 + (9 + -2z) = 4(7z + -1) + 8

Remove parenthesis around (9 + -2z)
6 + 9 + -2z = 4(7z + -1) + 8

Combine like terms: 6 + 9 = 15
15 + -2z = 4(7z + -1) + 8

Reorder the terms:
15 + -2z = 4(-1 + 7z) + 8
15 + -2z = (-1 * 4 + 7z * 4) + 8
15 + -2z = (-4 + 28z) + 8

Reorder the terms:
15 + -2z = -4 + 8 + 28z

Combine like terms: -4 + 8 = 4
15 + -2z = 4 + 28z

Solving
15 + -2z = 4 + 28z

Solving for variable 'z'.

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

Add '-28z' to each side of the equation.
15 + -2z + -28z = 4 + 28z + -28z

Combine like terms: -2z + -28z = -30z
15 + -30z = 4 + 28z + -28z

Combine like terms: 28z + -28z = 0
15 + -30z = 4 + 0
15 + -30z = 4

Add '-15' to each side of the equation.
15 + -15 + -30z = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -30z = 4 + -15
-30z = 4 + -15

Combine like terms: 4 + -15 = -11
-30z = -11

Divide each side by '-30'.
z = 0.3666666667

Simplifying
z = 0.3666666667

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