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Simplifying 3(x + 24) + 5m(x + 24) = 0 Reorder the terms: 3(24 + x) + 5m(x + 24) = 0 (24 * 3 + x * 3) + 5m(x + 24) = 0 (72 + 3x) + 5m(x + 24) = 0 Reorder the terms: 72 + 3x + 5m(24 + x) = 0 72 + 3x + (24 * 5m + x * 5m) = 0 72 + 3x + (120m + 5mx) = 0 Reorder the terms: 72 + 120m + 5mx + 3x = 0 Solving 72 + 120m + 5mx + 3x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 120m + 5mx + -72 + 3x = 0 + -72 Reorder the terms: 72 + -72 + 120m + 5mx + 3x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 120m + 5mx + 3x = 0 + -72 120m + 5mx + 3x = 0 + -72 Combine like terms: 0 + -72 = -72 120m + 5mx + 3x = -72 Add '-3x' to each side of the equation. 120m + 5mx + 3x + -3x = -72 + -3x Combine like terms: 3x + -3x = 0 120m + 5mx + 0 = -72 + -3x 120m + 5mx = -72 + -3x Reorder the terms: 72 + 120m + 5mx + 3x = -72 + -3x + 72 + 3x Reorder the terms: 72 + 120m + 5mx + 3x = -72 + 72 + -3x + 3x Combine like terms: -72 + 72 = 0 72 + 120m + 5mx + 3x = 0 + -3x + 3x 72 + 120m + 5mx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 72 + 120m + 5mx + 3x = 0 The solution to this equation could not be determined.
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