91-3m=3(m-11)-2

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Solution for 91-3m=3(m-11)-2 equation:


Simplifying
91 + -3m = 3(m + -11) + -2

Reorder the terms:
91 + -3m = 3(-11 + m) + -2
91 + -3m = (-11 * 3 + m * 3) + -2
91 + -3m = (-33 + 3m) + -2

Reorder the terms:
91 + -3m = -33 + -2 + 3m

Combine like terms: -33 + -2 = -35
91 + -3m = -35 + 3m

Solving
91 + -3m = -35 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
91 + -3m + -3m = -35 + 3m + -3m

Combine like terms: -3m + -3m = -6m
91 + -6m = -35 + 3m + -3m

Combine like terms: 3m + -3m = 0
91 + -6m = -35 + 0
91 + -6m = -35

Add '-91' to each side of the equation.
91 + -91 + -6m = -35 + -91

Combine like terms: 91 + -91 = 0
0 + -6m = -35 + -91
-6m = -35 + -91

Combine like terms: -35 + -91 = -126
-6m = -126

Divide each side by '-6'.
m = 21

Simplifying
m = 21

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