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Simplifying 3(6 + -3m) + 5(2m + 7) = 0 (6 * 3 + -3m * 3) + 5(2m + 7) = 0 (18 + -9m) + 5(2m + 7) = 0 Reorder the terms: 18 + -9m + 5(7 + 2m) = 0 18 + -9m + (7 * 5 + 2m * 5) = 0 18 + -9m + (35 + 10m) = 0 Reorder the terms: 18 + 35 + -9m + 10m = 0 Combine like terms: 18 + 35 = 53 53 + -9m + 10m = 0 Combine like terms: -9m + 10m = 1m 53 + 1m = 0 Solving 53 + 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 1m = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 1m = 0 + -53 1m = 0 + -53 Combine like terms: 0 + -53 = -53 1m = -53 Divide each side by '1'. m = -53 Simplifying m = -53
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