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Simplifying 5(2m + 3) = (4m + 1) + -2(3m + 2) Reorder the terms: 5(3 + 2m) = (4m + 1) + -2(3m + 2) (3 * 5 + 2m * 5) = (4m + 1) + -2(3m + 2) (15 + 10m) = (4m + 1) + -2(3m + 2) Reorder the terms: 15 + 10m = (1 + 4m) + -2(3m + 2) Remove parenthesis around (1 + 4m) 15 + 10m = 1 + 4m + -2(3m + 2) Reorder the terms: 15 + 10m = 1 + 4m + -2(2 + 3m) 15 + 10m = 1 + 4m + (2 * -2 + 3m * -2) 15 + 10m = 1 + 4m + (-4 + -6m) Reorder the terms: 15 + 10m = 1 + -4 + 4m + -6m Combine like terms: 1 + -4 = -3 15 + 10m = -3 + 4m + -6m Combine like terms: 4m + -6m = -2m 15 + 10m = -3 + -2m Solving 15 + 10m = -3 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 15 + 10m + 2m = -3 + -2m + 2m Combine like terms: 10m + 2m = 12m 15 + 12m = -3 + -2m + 2m Combine like terms: -2m + 2m = 0 15 + 12m = -3 + 0 15 + 12m = -3 Add '-15' to each side of the equation. 15 + -15 + 12m = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 12m = -3 + -15 12m = -3 + -15 Combine like terms: -3 + -15 = -18 12m = -18 Divide each side by '12'. m = -1.5 Simplifying m = -1.5
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