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Simplifying -11(4m + -11) = -9(1 + 2m) Reorder the terms: -11(-11 + 4m) = -9(1 + 2m) (-11 * -11 + 4m * -11) = -9(1 + 2m) (121 + -44m) = -9(1 + 2m) 121 + -44m = (1 * -9 + 2m * -9) 121 + -44m = (-9 + -18m) Solving 121 + -44m = -9 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 121 + -44m + 18m = -9 + -18m + 18m Combine like terms: -44m + 18m = -26m 121 + -26m = -9 + -18m + 18m Combine like terms: -18m + 18m = 0 121 + -26m = -9 + 0 121 + -26m = -9 Add '-121' to each side of the equation. 121 + -121 + -26m = -9 + -121 Combine like terms: 121 + -121 = 0 0 + -26m = -9 + -121 -26m = -9 + -121 Combine like terms: -9 + -121 = -130 -26m = -130 Divide each side by '-26'. m = 5 Simplifying m = 5
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