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Simplifying 3(2m + 1) = -15(5m + 16) Reorder the terms: 3(1 + 2m) = -15(5m + 16) (1 * 3 + 2m * 3) = -15(5m + 16) (3 + 6m) = -15(5m + 16) Reorder the terms: 3 + 6m = -15(16 + 5m) 3 + 6m = (16 * -15 + 5m * -15) 3 + 6m = (-240 + -75m) Solving 3 + 6m = -240 + -75m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '75m' to each side of the equation. 3 + 6m + 75m = -240 + -75m + 75m Combine like terms: 6m + 75m = 81m 3 + 81m = -240 + -75m + 75m Combine like terms: -75m + 75m = 0 3 + 81m = -240 + 0 3 + 81m = -240 Add '-3' to each side of the equation. 3 + -3 + 81m = -240 + -3 Combine like terms: 3 + -3 = 0 0 + 81m = -240 + -3 81m = -240 + -3 Combine like terms: -240 + -3 = -243 81m = -243 Divide each side by '81'. m = -3 Simplifying m = -3
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