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Simplifying 6n + -5n = -3(9n + 9) + -1(9n + 10) Combine like terms: 6n + -5n = 1n 1n = -3(9n + 9) + -1(9n + 10) Reorder the terms: 1n = -3(9 + 9n) + -1(9n + 10) 1n = (9 * -3 + 9n * -3) + -1(9n + 10) 1n = (-27 + -27n) + -1(9n + 10) Reorder the terms: 1n = -27 + -27n + -1(10 + 9n) 1n = -27 + -27n + (10 * -1 + 9n * -1) 1n = -27 + -27n + (-10 + -9n) Reorder the terms: 1n = -27 + -10 + -27n + -9n Combine like terms: -27 + -10 = -37 1n = -37 + -27n + -9n Combine like terms: -27n + -9n = -36n 1n = -37 + -36n Solving 1n = -37 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. 1n + 36n = -37 + -36n + 36n Combine like terms: 1n + 36n = 37n 37n = -37 + -36n + 36n Combine like terms: -36n + 36n = 0 37n = -37 + 0 37n = -37 Divide each side by '37'. n = -1 Simplifying n = -1
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