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Simplifying 5(pm + -2n + 3p) = 0 (mp * 5 + -2n * 5 + 3p * 5) = 0 (5mp + -10n + 15p) = 0 Solving 5mp + -10n + 15p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10n' to each side of the equation. 5mp + -10n + 10n + 15p = 0 + 10n Combine like terms: -10n + 10n = 0 5mp + 0 + 15p = 0 + 10n 5mp + 15p = 0 + 10n Remove the zero: 5mp + 15p = 10n Add '-15p' to each side of the equation. 5mp + 15p + -15p = 10n + -15p Combine like terms: 15p + -15p = 0 5mp + 0 = 10n + -15p 5mp = 10n + -15p Divide each side by '5p'. m = 2np-1 + -3 Simplifying m = 2np-1 + -3 Reorder the terms: m = -3 + 2np-1
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