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