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Simplifying 5(8m + 4x + -9n) = 0 Reorder the terms: 5(8m + -9n + 4x) = 0 (8m * 5 + -9n * 5 + 4x * 5) = 0 (40m + -45n + 20x) = 0 Solving 40m + -45n + 20x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '45n' to each side of the equation. 40m + -45n + 45n + 20x = 0 + 45n Combine like terms: -45n + 45n = 0 40m + 0 + 20x = 0 + 45n 40m + 20x = 0 + 45n Remove the zero: 40m + 20x = 45n Add '-20x' to each side of the equation. 40m + 20x + -20x = 45n + -20x Combine like terms: 20x + -20x = 0 40m + 0 = 45n + -20x 40m = 45n + -20x Divide each side by '40'. m = 1.125n + -0.5x Simplifying m = 1.125n + -0.5x
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