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Simplifying 9m + 4n + -5 + -1(3m + -2n + 4) = 0 Reorder the terms: 9m + 4n + -5 + -1(4 + 3m + -2n) = 0 9m + 4n + -5 + (4 * -1 + 3m * -1 + -2n * -1) = 0 9m + 4n + -5 + (-4 + -3m + 2n) = 0 Reorder the terms: -5 + -4 + 9m + -3m + 4n + 2n = 0 Combine like terms: -5 + -4 = -9 -9 + 9m + -3m + 4n + 2n = 0 Combine like terms: 9m + -3m = 6m -9 + 6m + 4n + 2n = 0 Combine like terms: 4n + 2n = 6n -9 + 6m + 6n = 0 Solving -9 + 6m + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 6m + 9 + 6n = 0 + 9 Reorder the terms: -9 + 9 + 6m + 6n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6m + 6n = 0 + 9 6m + 6n = 0 + 9 Combine like terms: 0 + 9 = 9 6m + 6n = 9 Add '-6n' to each side of the equation. 6m + 6n + -6n = 9 + -6n Combine like terms: 6n + -6n = 0 6m + 0 = 9 + -6n 6m = 9 + -6n Divide each side by '6'. m = 1.5 + -1n Simplifying m = 1.5 + -1n
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