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