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Simplifying 4(2m + -1) + 3m = 2(4m + -1) + -1(2 + -1m) Reorder the terms: 4(-1 + 2m) + 3m = 2(4m + -1) + -1(2 + -1m) (-1 * 4 + 2m * 4) + 3m = 2(4m + -1) + -1(2 + -1m) (-4 + 8m) + 3m = 2(4m + -1) + -1(2 + -1m) Combine like terms: 8m + 3m = 11m -4 + 11m = 2(4m + -1) + -1(2 + -1m) Reorder the terms: -4 + 11m = 2(-1 + 4m) + -1(2 + -1m) -4 + 11m = (-1 * 2 + 4m * 2) + -1(2 + -1m) -4 + 11m = (-2 + 8m) + -1(2 + -1m) -4 + 11m = -2 + 8m + (2 * -1 + -1m * -1) -4 + 11m = -2 + 8m + (-2 + 1m) Reorder the terms: -4 + 11m = -2 + -2 + 8m + 1m Combine like terms: -2 + -2 = -4 -4 + 11m = -4 + 8m + 1m Combine like terms: 8m + 1m = 9m -4 + 11m = -4 + 9m Add '4' to each side of the equation. -4 + 4 + 11m = -4 + 4 + 9m Combine like terms: -4 + 4 = 0 0 + 11m = -4 + 4 + 9m 11m = -4 + 4 + 9m Combine like terms: -4 + 4 = 0 11m = 0 + 9m 11m = 9m Solving 11m = 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 11m + -9m = 9m + -9m Combine like terms: 11m + -9m = 2m 2m = 9m + -9m Combine like terms: 9m + -9m = 0 2m = 0 Divide each side by '2'. m = 0 Simplifying m = 0
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