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Simplifying -9m + 51 + -9(m + -3) = 3m + -1(4m + -4) + -2m + 1 Reorder the terms: -9m + 51 + -9(-3 + m) = 3m + -1(4m + -4) + -2m + 1 -9m + 51 + (-3 * -9 + m * -9) = 3m + -1(4m + -4) + -2m + 1 -9m + 51 + (27 + -9m) = 3m + -1(4m + -4) + -2m + 1 Reorder the terms: 51 + 27 + -9m + -9m = 3m + -1(4m + -4) + -2m + 1 Combine like terms: 51 + 27 = 78 78 + -9m + -9m = 3m + -1(4m + -4) + -2m + 1 Combine like terms: -9m + -9m = -18m 78 + -18m = 3m + -1(4m + -4) + -2m + 1 Reorder the terms: 78 + -18m = 3m + -1(-4 + 4m) + -2m + 1 78 + -18m = 3m + (-4 * -1 + 4m * -1) + -2m + 1 78 + -18m = 3m + (4 + -4m) + -2m + 1 Reorder the terms: 78 + -18m = 4 + 1 + 3m + -4m + -2m Combine like terms: 4 + 1 = 5 78 + -18m = 5 + 3m + -4m + -2m Combine like terms: 3m + -4m = -1m 78 + -18m = 5 + -1m + -2m Combine like terms: -1m + -2m = -3m 78 + -18m = 5 + -3m Solving 78 + -18m = 5 + -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. 78 + -18m + 3m = 5 + -3m + 3m Combine like terms: -18m + 3m = -15m 78 + -15m = 5 + -3m + 3m Combine like terms: -3m + 3m = 0 78 + -15m = 5 + 0 78 + -15m = 5 Add '-78' to each side of the equation. 78 + -78 + -15m = 5 + -78 Combine like terms: 78 + -78 = 0 0 + -15m = 5 + -78 -15m = 5 + -78 Combine like terms: 5 + -78 = -73 -15m = -73 Divide each side by '-15'. m = 4.866666667 Simplifying m = 4.866666667
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