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Simplifying 3(2m + 1) + 4 = 4m + 21 Reorder the terms: 3(1 + 2m) + 4 = 4m + 21 (1 * 3 + 2m * 3) + 4 = 4m + 21 (3 + 6m) + 4 = 4m + 21 Reorder the terms: 3 + 4 + 6m = 4m + 21 Combine like terms: 3 + 4 = 7 7 + 6m = 4m + 21 Reorder the terms: 7 + 6m = 21 + 4m Solving 7 + 6m = 21 + 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. 7 + 6m + -4m = 21 + 4m + -4m Combine like terms: 6m + -4m = 2m 7 + 2m = 21 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + 2m = 21 + 0 7 + 2m = 21 Add '-7' to each side of the equation. 7 + -7 + 2m = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 21 + -7 2m = 21 + -7 Combine like terms: 21 + -7 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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