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Simplifying 3(6n + 2m + p) = 0 Reorder the terms: 3(2m + 6n + p) = 0 (2m * 3 + 6n * 3 + p * 3) = 0 (6m + 18n + 3p) = 0 Solving 6m + 18n + 3p = 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 + 3p = 0 + -18n Combine like terms: 18n + -18n = 0 6m + 0 + 3p = 0 + -18n 6m + 3p = 0 + -18n Remove the zero: 6m + 3p = -18n Add '-3p' to each side of the equation. 6m + 3p + -3p = -18n + -3p Combine like terms: 3p + -3p = 0 6m + 0 = -18n + -3p 6m = -18n + -3p Divide each side by '6'. m = -3n + -0.5p Simplifying m = -3n + -0.5p
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