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Simplifying -6(3m + -4n + 8p) = 0 (3m * -6 + -4n * -6 + 8p * -6) = 0 (-18m + 24n + -48p) = 0 Solving -18m + 24n + -48p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24n' to each side of the equation. -18m + 24n + -24n + -48p = 0 + -24n Combine like terms: 24n + -24n = 0 -18m + 0 + -48p = 0 + -24n -18m + -48p = 0 + -24n Remove the zero: -18m + -48p = -24n Add '48p' to each side of the equation. -18m + -48p + 48p = -24n + 48p Combine like terms: -48p + 48p = 0 -18m + 0 = -24n + 48p -18m = -24n + 48p Divide each side by '-18'. m = 1.333333333n + -2.666666667p Simplifying m = 1.333333333n + -2.666666667p
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