M-(5-2m)-(4m+11)=5m-13

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Solution for M-(5-2m)-(4m+11)=5m-13 equation:


Simplifying
M + -1(5 + -2m) + -1(4m + 11) = 5m + -13
M + (5 * -1 + -2m * -1) + -1(4m + 11) = 5m + -13
M + (-5 + 2m) + -1(4m + 11) = 5m + -13

Reorder the terms:
M + -5 + 2m + -1(11 + 4m) = 5m + -13
M + -5 + 2m + (11 * -1 + 4m * -1) = 5m + -13
M + -5 + 2m + (-11 + -4m) = 5m + -13

Reorder the terms:
-5 + -11 + M + 2m + -4m = 5m + -13

Combine like terms: -5 + -11 = -16
-16 + M + 2m + -4m = 5m + -13

Combine like terms: 2m + -4m = -2m
-16 + M + -2m = 5m + -13

Reorder the terms:
-16 + M + -2m = -13 + 5m

Solving
-16 + M + -2m = -13 + 5m

Solving for variable 'M'.

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

Add '16' to each side of the equation.
-16 + M + 16 + -2m = -13 + 16 + 5m

Reorder the terms:
-16 + 16 + M + -2m = -13 + 16 + 5m

Combine like terms: -16 + 16 = 0
0 + M + -2m = -13 + 16 + 5m
M + -2m = -13 + 16 + 5m

Combine like terms: -13 + 16 = 3
M + -2m = 3 + 5m

Add '2m' to each side of the equation.
M + -2m + 2m = 3 + 5m + 2m

Combine like terms: -2m + 2m = 0
M + 0 = 3 + 5m + 2m
M = 3 + 5m + 2m

Combine like terms: 5m + 2m = 7m
M = 3 + 7m

Simplifying
M = 3 + 7m

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