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Simplifying -5(8m + -4n + -6) + 6(9m + 7) = 0 Reorder the terms: -5(-6 + 8m + -4n) + 6(9m + 7) = 0 (-6 * -5 + 8m * -5 + -4n * -5) + 6(9m + 7) = 0 (30 + -40m + 20n) + 6(9m + 7) = 0 Reorder the terms: 30 + -40m + 20n + 6(7 + 9m) = 0 30 + -40m + 20n + (7 * 6 + 9m * 6) = 0 30 + -40m + 20n + (42 + 54m) = 0 Reorder the terms: 30 + 42 + -40m + 54m + 20n = 0 Combine like terms: 30 + 42 = 72 72 + -40m + 54m + 20n = 0 Combine like terms: -40m + 54m = 14m 72 + 14m + 20n = 0 Solving 72 + 14m + 20n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 14m + -72 + 20n = 0 + -72 Reorder the terms: 72 + -72 + 14m + 20n = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 14m + 20n = 0 + -72 14m + 20n = 0 + -72 Combine like terms: 0 + -72 = -72 14m + 20n = -72 Add '-20n' to each side of the equation. 14m + 20n + -20n = -72 + -20n Combine like terms: 20n + -20n = 0 14m + 0 = -72 + -20n 14m = -72 + -20n Divide each side by '14'. m = -5.142857143 + -1.428571429n Simplifying m = -5.142857143 + -1.428571429n
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