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Simplifying 3 + 2(2m + 1) = 2m + 3(2m + 5) Reorder the terms: 3 + 2(1 + 2m) = 2m + 3(2m + 5) 3 + (1 * 2 + 2m * 2) = 2m + 3(2m + 5) 3 + (2 + 4m) = 2m + 3(2m + 5) Combine like terms: 3 + 2 = 5 5 + 4m = 2m + 3(2m + 5) Reorder the terms: 5 + 4m = 2m + 3(5 + 2m) 5 + 4m = 2m + (5 * 3 + 2m * 3) 5 + 4m = 2m + (15 + 6m) Reorder the terms: 5 + 4m = 15 + 2m + 6m Combine like terms: 2m + 6m = 8m 5 + 4m = 15 + 8m Solving 5 + 4m = 15 + 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. 5 + 4m + -8m = 15 + 8m + -8m Combine like terms: 4m + -8m = -4m 5 + -4m = 15 + 8m + -8m Combine like terms: 8m + -8m = 0 5 + -4m = 15 + 0 5 + -4m = 15 Add '-5' to each side of the equation. 5 + -5 + -4m = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 15 + -5 -4m = 15 + -5 Combine like terms: 15 + -5 = 10 -4m = 10 Divide each side by '-4'. m = -2.5 Simplifying m = -2.5
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