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Simplifying 3(2m + 5n + 10) = 0 Reorder the terms: 3(10 + 2m + 5n) = 0 (10 * 3 + 2m * 3 + 5n * 3) = 0 (30 + 6m + 15n) = 0 Solving 30 + 6m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 6m + -30 + 15n = 0 + -30 Reorder the terms: 30 + -30 + 6m + 15n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6m + 15n = 0 + -30 6m + 15n = 0 + -30 Combine like terms: 0 + -30 = -30 6m + 15n = -30 Add '-15n' to each side of the equation. 6m + 15n + -15n = -30 + -15n Combine like terms: 15n + -15n = 0 6m + 0 = -30 + -15n 6m = -30 + -15n Divide each side by '6'. m = -5 + -2.5n Simplifying m = -5 + -2.5n
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