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Simplifying 51 = 3(5m + 2) Reorder the terms: 51 = 3(2 + 5m) 51 = (2 * 3 + 5m * 3) 51 = (6 + 15m) Solving 51 = 6 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 51 + -15m = 6 + 15m + -15m Combine like terms: 15m + -15m = 0 51 + -15m = 6 + 0 51 + -15m = 6 Add '-51' to each side of the equation. 51 + -51 + -15m = 6 + -51 Combine like terms: 51 + -51 = 0 0 + -15m = 6 + -51 -15m = 6 + -51 Combine like terms: 6 + -51 = -45 -15m = -45 Divide each side by '-15'. m = 3 Simplifying m = 3
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