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Simplifying 3(3m + -1) + -3(-4m + 6n) = 0 Reorder the terms: 3(-1 + 3m) + -3(-4m + 6n) = 0 (-1 * 3 + 3m * 3) + -3(-4m + 6n) = 0 (-3 + 9m) + -3(-4m + 6n) = 0 -3 + 9m + (-4m * -3 + 6n * -3) = 0 -3 + 9m + (12m + -18n) = 0 Combine like terms: 9m + 12m = 21m -3 + 21m + -18n = 0 Solving -3 + 21m + -18n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 21m + 3 + -18n = 0 + 3 Reorder the terms: -3 + 3 + 21m + -18n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 21m + -18n = 0 + 3 21m + -18n = 0 + 3 Combine like terms: 0 + 3 = 3 21m + -18n = 3 Add '18n' to each side of the equation. 21m + -18n + 18n = 3 + 18n Combine like terms: -18n + 18n = 0 21m + 0 = 3 + 18n 21m = 3 + 18n Divide each side by '21'. m = 0.1428571429 + 0.8571428571n Simplifying m = 0.1428571429 + 0.8571428571n
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