5(-m-1)-6(m+6)=36

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Solution for 5(-m-1)-6(m+6)=36 equation:


Simplifying
5(-1m + -1) + -6(m + 6) = 36

Reorder the terms:
5(-1 + -1m) + -6(m + 6) = 36
(-1 * 5 + -1m * 5) + -6(m + 6) = 36
(-5 + -5m) + -6(m + 6) = 36

Reorder the terms:
-5 + -5m + -6(6 + m) = 36
-5 + -5m + (6 * -6 + m * -6) = 36
-5 + -5m + (-36 + -6m) = 36

Reorder the terms:
-5 + -36 + -5m + -6m = 36

Combine like terms: -5 + -36 = -41
-41 + -5m + -6m = 36

Combine like terms: -5m + -6m = -11m
-41 + -11m = 36

Solving
-41 + -11m = 36

Solving for variable 'm'.

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

Add '41' to each side of the equation.
-41 + 41 + -11m = 36 + 41

Combine like terms: -41 + 41 = 0
0 + -11m = 36 + 41
-11m = 36 + 41

Combine like terms: 36 + 41 = 77
-11m = 77

Divide each side by '-11'.
m = -7

Simplifying
m = -7

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