35=9(11m-12)+7(-11m-11)

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Solution for 35=9(11m-12)+7(-11m-11) equation:


Simplifying
35 = 9(11m + -12) + 7(-11m + -11)

Reorder the terms:
35 = 9(-12 + 11m) + 7(-11m + -11)
35 = (-12 * 9 + 11m * 9) + 7(-11m + -11)
35 = (-108 + 99m) + 7(-11m + -11)

Reorder the terms:
35 = -108 + 99m + 7(-11 + -11m)
35 = -108 + 99m + (-11 * 7 + -11m * 7)
35 = -108 + 99m + (-77 + -77m)

Reorder the terms:
35 = -108 + -77 + 99m + -77m

Combine like terms: -108 + -77 = -185
35 = -185 + 99m + -77m

Combine like terms: 99m + -77m = 22m
35 = -185 + 22m

Solving
35 = -185 + 22m

Solving for variable 'm'.

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

Add '-22m' to each side of the equation.
35 + -22m = -185 + 22m + -22m

Combine like terms: 22m + -22m = 0
35 + -22m = -185 + 0
35 + -22m = -185

Add '-35' to each side of the equation.
35 + -35 + -22m = -185 + -35

Combine like terms: 35 + -35 = 0
0 + -22m = -185 + -35
-22m = -185 + -35

Combine like terms: -185 + -35 = -220
-22m = -220

Divide each side by '-22'.
m = 10

Simplifying
m = 10

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