5+6(-z+1)=6(7z+1)+2

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Solution for 5+6(-z+1)=6(7z+1)+2 equation: 


Simplifying
5 + 6(-1z + 1) = 6(7z + 1) + 2

Reorder the terms:
5 + 6(1 + -1z) = 6(7z + 1) + 2
5 + (1 * 6 + -1z * 6) = 6(7z + 1) + 2
5 + (6 + -6z) = 6(7z + 1) + 2

Combine like terms: 5 + 6 = 11
11 + -6z = 6(7z + 1) + 2

Reorder the terms:
11 + -6z = 6(1 + 7z) + 2
11 + -6z = (1 * 6 + 7z * 6) + 2
11 + -6z = (6 + 42z) + 2

Reorder the terms:
11 + -6z = 6 + 2 + 42z

Combine like terms: 6 + 2 = 8
11 + -6z = 8 + 42z

Solving
11 + -6z = 8 + 42z

Solving for variable 'z'.

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

Add '-42z' to each side of the equation.
11 + -6z + -42z = 8 + 42z + -42z

Combine like terms: -6z + -42z = -48z
11 + -48z = 8 + 42z + -42z

Combine like terms: 42z + -42z = 0
11 + -48z = 8 + 0
11 + -48z = 8

Add '-11' to each side of the equation.
11 + -11 + -48z = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -48z = 8 + -11
-48z = 8 + -11

Combine like terms: 8 + -11 = -3
-48z = -3

Divide each side by '-48'.
z = 0.0625

Simplifying
z = 0.0625

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