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Simplifying 3(2m + -1) + 2 = 4(-3m + 2) Reorder the terms: 3(-1 + 2m) + 2 = 4(-3m + 2) (-1 * 3 + 2m * 3) + 2 = 4(-3m + 2) (-3 + 6m) + 2 = 4(-3m + 2) Reorder the terms: -3 + 2 + 6m = 4(-3m + 2) Combine like terms: -3 + 2 = -1 -1 + 6m = 4(-3m + 2) Reorder the terms: -1 + 6m = 4(2 + -3m) -1 + 6m = (2 * 4 + -3m * 4) -1 + 6m = (8 + -12m) Solving -1 + 6m = 8 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -1 + 6m + 12m = 8 + -12m + 12m Combine like terms: 6m + 12m = 18m -1 + 18m = 8 + -12m + 12m Combine like terms: -12m + 12m = 0 -1 + 18m = 8 + 0 -1 + 18m = 8 Add '1' to each side of the equation. -1 + 1 + 18m = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 18m = 8 + 1 18m = 8 + 1 Combine like terms: 8 + 1 = 9 18m = 9 Divide each side by '18'. m = 0.5 Simplifying m = 0.5
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