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Simplifying -6(8 + -9m + n) = 0 (8 * -6 + -9m * -6 + n * -6) = 0 (-48 + 54m + -6n) = 0 Solving -48 + 54m + -6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 54m + 48 + -6n = 0 + 48 Reorder the terms: -48 + 48 + 54m + -6n = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 54m + -6n = 0 + 48 54m + -6n = 0 + 48 Combine like terms: 0 + 48 = 48 54m + -6n = 48 Add '6n' to each side of the equation. 54m + -6n + 6n = 48 + 6n Combine like terms: -6n + 6n = 0 54m + 0 = 48 + 6n 54m = 48 + 6n Divide each side by '54'. m = 0.8888888889 + 0.1111111111n Simplifying m = 0.8888888889 + 0.1111111111n
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