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Simplifying 3(2m + 5n) + 4m = 0 (2m * 3 + 5n * 3) + 4m = 0 (6m + 15n) + 4m = 0 Reorder the terms: 6m + 4m + 15n = 0 Combine like terms: 6m + 4m = 10m 10m + 15n = 0 Solving 10m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15n' to each side of the equation. 10m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 10m + 0 = 0 + -15n 10m = 0 + -15n Remove the zero: 10m = -15n Divide each side by '10'. m = -1.5n Simplifying m = -1.5n
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