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Simplifying 5(9m + -2n + 3p) = 0 (9m * 5 + -2n * 5 + 3p * 5) = 0 (45m + -10n + 15p) = 0 Solving 45m + -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. 45m + -10n + 10n + 15p = 0 + 10n Combine like terms: -10n + 10n = 0 45m + 0 + 15p = 0 + 10n 45m + 15p = 0 + 10n Remove the zero: 45m + 15p = 10n Add '-15p' to each side of the equation. 45m + 15p + -15p = 10n + -15p Combine like terms: 15p + -15p = 0 45m + 0 = 10n + -15p 45m = 10n + -15p Divide each side by '45'. m = 0.2222222222n + -0.3333333333p Simplifying m = 0.2222222222n + -0.3333333333p
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