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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 = 12 12 + -40m + 54m + 20n = 0 Combine like terms: -40m + 54m = 14m 12 + 14m + 20n = 0 Solving 12 + 14m + 20n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 14m + -12 + 20n = 0 + -12 Reorder the terms: 12 + -12 + 14m + 20n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 14m + 20n = 0 + -12 14m + 20n = 0 + -12 Combine like terms: 0 + -12 = -12 14m + 20n = -12 Add '-20n' to each side of the equation. 14m + 20n + -20n = -12 + -20n Combine like terms: 20n + -20n = 0 14m + 0 = -12 + -20n 14m = -12 + -20n Divide each side by '14'. m = -0.8571428571 + -1.428571429n Simplifying m = -0.8571428571 + -1.428571429n
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