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Simplifying -6 + -4(m + -9) = -2(9 + 10m) Reorder the terms: -6 + -4(-9 + m) = -2(9 + 10m) -6 + (-9 * -4 + m * -4) = -2(9 + 10m) -6 + (36 + -4m) = -2(9 + 10m) Combine like terms: -6 + 36 = 30 30 + -4m = -2(9 + 10m) 30 + -4m = (9 * -2 + 10m * -2) 30 + -4m = (-18 + -20m) Solving 30 + -4m = -18 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 30 + -4m + 20m = -18 + -20m + 20m Combine like terms: -4m + 20m = 16m 30 + 16m = -18 + -20m + 20m Combine like terms: -20m + 20m = 0 30 + 16m = -18 + 0 30 + 16m = -18 Add '-30' to each side of the equation. 30 + -30 + 16m = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 16m = -18 + -30 16m = -18 + -30 Combine like terms: -18 + -30 = -48 16m = -48 Divide each side by '16'. m = -3 Simplifying m = -3
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