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Simplifying 3(2m + 4(n + 5p)) + 6n = 0 3(2m + (n * 4 + 5p * 4)) + 6n = 0 3(2m + (4n + 20p)) + 6n = 0 (2m * 3 + 4n * 3 + 20p * 3) + 6n = 0 (6m + 12n + 60p) + 6n = 0 Reorder the terms: 6m + 12n + 6n + 60p = 0 Combine like terms: 12n + 6n = 18n 6m + 18n + 60p = 0 Solving 6m + 18n + 60p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18n' to each side of the equation. 6m + 18n + -18n + 60p = 0 + -18n Combine like terms: 18n + -18n = 0 6m + 0 + 60p = 0 + -18n 6m + 60p = 0 + -18n Remove the zero: 6m + 60p = -18n Add '-60p' to each side of the equation. 6m + 60p + -60p = -18n + -60p Combine like terms: 60p + -60p = 0 6m + 0 = -18n + -60p 6m = -18n + -60p Divide each side by '6'. m = -3n + -10p Simplifying m = -3n + -10p
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