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Simplifying 14m + 10 = 2(2m + 15) Reorder the terms: 10 + 14m = 2(2m + 15) Reorder the terms: 10 + 14m = 2(15 + 2m) 10 + 14m = (15 * 2 + 2m * 2) 10 + 14m = (30 + 4m) Solving 10 + 14m = 30 + 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 + 14m + -4m = 30 + 4m + -4m Combine like terms: 14m + -4m = 10m 10 + 10m = 30 + 4m + -4m Combine like terms: 4m + -4m = 0 10 + 10m = 30 + 0 10 + 10m = 30 Add '-10' to each side of the equation. 10 + -10 + 10m = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 10m = 30 + -10 10m = 30 + -10 Combine like terms: 30 + -10 = 20 10m = 20 Divide each side by '10'. m = 2 Simplifying m = 2
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