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Simplifying -2m + -18 + -3(3m + -3) = 4m + -1(5m + -2) + -9m + 9 Reorder the terms: -2m + -18 + -3(-3 + 3m) = 4m + -1(5m + -2) + -9m + 9 -2m + -18 + (-3 * -3 + 3m * -3) = 4m + -1(5m + -2) + -9m + 9 -2m + -18 + (9 + -9m) = 4m + -1(5m + -2) + -9m + 9 Reorder the terms: -18 + 9 + -2m + -9m = 4m + -1(5m + -2) + -9m + 9 Combine like terms: -18 + 9 = -9 -9 + -2m + -9m = 4m + -1(5m + -2) + -9m + 9 Combine like terms: -2m + -9m = -11m -9 + -11m = 4m + -1(5m + -2) + -9m + 9 Reorder the terms: -9 + -11m = 4m + -1(-2 + 5m) + -9m + 9 -9 + -11m = 4m + (-2 * -1 + 5m * -1) + -9m + 9 -9 + -11m = 4m + (2 + -5m) + -9m + 9 Reorder the terms: -9 + -11m = 2 + 9 + 4m + -5m + -9m Combine like terms: 2 + 9 = 11 -9 + -11m = 11 + 4m + -5m + -9m Combine like terms: 4m + -5m = -1m -9 + -11m = 11 + -1m + -9m Combine like terms: -1m + -9m = -10m -9 + -11m = 11 + -10m Solving -9 + -11m = 11 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -9 + -11m + 10m = 11 + -10m + 10m Combine like terms: -11m + 10m = -1m -9 + -1m = 11 + -10m + 10m Combine like terms: -10m + 10m = 0 -9 + -1m = 11 + 0 -9 + -1m = 11 Add '9' to each side of the equation. -9 + 9 + -1m = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 11 + 9 -1m = 11 + 9 Combine like terms: 11 + 9 = 20 -1m = 20 Divide each side by '-1'. m = -20 Simplifying m = -20
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