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Simplifying 3(2m + -1) = 5(4m + -1) + -4(3m + -2) Reorder the terms: 3(-1 + 2m) = 5(4m + -1) + -4(3m + -2) (-1 * 3 + 2m * 3) = 5(4m + -1) + -4(3m + -2) (-3 + 6m) = 5(4m + -1) + -4(3m + -2) Reorder the terms: -3 + 6m = 5(-1 + 4m) + -4(3m + -2) -3 + 6m = (-1 * 5 + 4m * 5) + -4(3m + -2) -3 + 6m = (-5 + 20m) + -4(3m + -2) Reorder the terms: -3 + 6m = -5 + 20m + -4(-2 + 3m) -3 + 6m = -5 + 20m + (-2 * -4 + 3m * -4) -3 + 6m = -5 + 20m + (8 + -12m) Reorder the terms: -3 + 6m = -5 + 8 + 20m + -12m Combine like terms: -5 + 8 = 3 -3 + 6m = 3 + 20m + -12m Combine like terms: 20m + -12m = 8m -3 + 6m = 3 + 8m Solving -3 + 6m = 3 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -3 + 6m + -8m = 3 + 8m + -8m Combine like terms: 6m + -8m = -2m -3 + -2m = 3 + 8m + -8m Combine like terms: 8m + -8m = 0 -3 + -2m = 3 + 0 -3 + -2m = 3 Add '3' to each side of the equation. -3 + 3 + -2m = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 3 + 3 -2m = 3 + 3 Combine like terms: 3 + 3 = 6 -2m = 6 Divide each side by '-2'. m = -3 Simplifying m = -3
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