-(1+7z)-6(-7-z)=36

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Solution for -(1+7z)-6(-7-z)=36 equation: 


Simplifying
-1(1 + 7z) + -6(-7 + -1z) = 36
(1 * -1 + 7z * -1) + -6(-7 + -1z) = 36
(-1 + -7z) + -6(-7 + -1z) = 36
-1 + -7z + (-7 * -6 + -1z * -6) = 36
-1 + -7z + (42 + 6z) = 36

Reorder the terms:
-1 + 42 + -7z + 6z = 36

Combine like terms: -1 + 42 = 41
41 + -7z + 6z = 36

Combine like terms: -7z + 6z = -1z
41 + -1z = 36

Solving
41 + -1z = 36

Solving for variable 'z'.

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

Add '-41' to each side of the equation.
41 + -41 + -1z = 36 + -41

Combine like terms: 41 + -41 = 0
0 + -1z = 36 + -41
-1z = 36 + -41

Combine like terms: 36 + -41 = -5
-1z = -5

Divide each side by '-1'.
z = 5

Simplifying
z = 5

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