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Simplifying 1 + -3m + 6m + -4 = -3(4m + -2) + -2(7 + -8m) Reorder the terms: 1 + -4 + -3m + 6m = -3(4m + -2) + -2(7 + -8m) Combine like terms: 1 + -4 = -3 -3 + -3m + 6m = -3(4m + -2) + -2(7 + -8m) Combine like terms: -3m + 6m = 3m -3 + 3m = -3(4m + -2) + -2(7 + -8m) Reorder the terms: -3 + 3m = -3(-2 + 4m) + -2(7 + -8m) -3 + 3m = (-2 * -3 + 4m * -3) + -2(7 + -8m) -3 + 3m = (6 + -12m) + -2(7 + -8m) -3 + 3m = 6 + -12m + (7 * -2 + -8m * -2) -3 + 3m = 6 + -12m + (-14 + 16m) Reorder the terms: -3 + 3m = 6 + -14 + -12m + 16m Combine like terms: 6 + -14 = -8 -3 + 3m = -8 + -12m + 16m Combine like terms: -12m + 16m = 4m -3 + 3m = -8 + 4m Solving -3 + 3m = -8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -3 + 3m + -4m = -8 + 4m + -4m Combine like terms: 3m + -4m = -1m -3 + -1m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 -3 + -1m = -8 + 0 -3 + -1m = -8 Add '3' to each side of the equation. -3 + 3 + -1m = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = -8 + 3 -1m = -8 + 3 Combine like terms: -8 + 3 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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