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Simplifying 3 = 5(1 + 2m) + 8(2m + 3) 3 = (1 * 5 + 2m * 5) + 8(2m + 3) 3 = (5 + 10m) + 8(2m + 3) Reorder the terms: 3 = 5 + 10m + 8(3 + 2m) 3 = 5 + 10m + (3 * 8 + 2m * 8) 3 = 5 + 10m + (24 + 16m) Reorder the terms: 3 = 5 + 24 + 10m + 16m Combine like terms: 5 + 24 = 29 3 = 29 + 10m + 16m Combine like terms: 10m + 16m = 26m 3 = 29 + 26m Solving 3 = 29 + 26m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26m' to each side of the equation. 3 + -26m = 29 + 26m + -26m Combine like terms: 26m + -26m = 0 3 + -26m = 29 + 0 3 + -26m = 29 Add '-3' to each side of the equation. 3 + -3 + -26m = 29 + -3 Combine like terms: 3 + -3 = 0 0 + -26m = 29 + -3 -26m = 29 + -3 Combine like terms: 29 + -3 = 26 -26m = 26 Divide each side by '-26'. m = -1 Simplifying m = -1
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