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Simplifying -6(7q + 5r + -8m) = 0 Reorder the terms: -6(-8m + 7q + 5r) = 0 (-8m * -6 + 7q * -6 + 5r * -6) = 0 (48m + -42q + -30r) = 0 Solving 48m + -42q + -30r = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42q' to each side of the equation. 48m + -42q + 42q + -30r = 0 + 42q Combine like terms: -42q + 42q = 0 48m + 0 + -30r = 0 + 42q 48m + -30r = 0 + 42q Remove the zero: 48m + -30r = 42q Add '30r' to each side of the equation. 48m + -30r + 30r = 42q + 30r Combine like terms: -30r + 30r = 0 48m + 0 = 42q + 30r 48m = 42q + 30r Divide each side by '48'. m = 0.875q + 0.625r Simplifying m = 0.875q + 0.625r
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