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Simplifying 3(1 + 3m) + 3 = 51 (1 * 3 + 3m * 3) + 3 = 51 (3 + 9m) + 3 = 51 Reorder the terms: 3 + 3 + 9m = 51 Combine like terms: 3 + 3 = 6 6 + 9m = 51 Solving 6 + 9m = 51 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9m = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 9m = 51 + -6 9m = 51 + -6 Combine like terms: 51 + -6 = 45 9m = 45 Divide each side by '9'. m = 5 Simplifying m = 5
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