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Simplifying 6m + 30n + 24p + 48q = 0 Solving 6m + 30n + 24p + 48q = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30n' to each side of the equation. 6m + 30n + 24p + -30n + 48q = 0 + -30n Reorder the terms: 6m + 30n + -30n + 24p + 48q = 0 + -30n Combine like terms: 30n + -30n = 0 6m + 0 + 24p + 48q = 0 + -30n 6m + 24p + 48q = 0 + -30n Remove the zero: 6m + 24p + 48q = -30n Add '-24p' to each side of the equation. 6m + 24p + -24p + 48q = -30n + -24p Combine like terms: 24p + -24p = 0 6m + 0 + 48q = -30n + -24p 6m + 48q = -30n + -24p Add '-48q' to each side of the equation. 6m + 48q + -48q = -30n + -24p + -48q Combine like terms: 48q + -48q = 0 6m + 0 = -30n + -24p + -48q 6m = -30n + -24p + -48q Divide each side by '6'. m = -5n + -4p + -8q Simplifying m = -5n + -4p + -8q
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