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Simplifying 3n + 9 = -7(n + 9) + 6(11 + -5n) Reorder the terms: 9 + 3n = -7(n + 9) + 6(11 + -5n) Reorder the terms: 9 + 3n = -7(9 + n) + 6(11 + -5n) 9 + 3n = (9 * -7 + n * -7) + 6(11 + -5n) 9 + 3n = (-63 + -7n) + 6(11 + -5n) 9 + 3n = -63 + -7n + (11 * 6 + -5n * 6) 9 + 3n = -63 + -7n + (66 + -30n) Reorder the terms: 9 + 3n = -63 + 66 + -7n + -30n Combine like terms: -63 + 66 = 3 9 + 3n = 3 + -7n + -30n Combine like terms: -7n + -30n = -37n 9 + 3n = 3 + -37n Solving 9 + 3n = 3 + -37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37n' to each side of the equation. 9 + 3n + 37n = 3 + -37n + 37n Combine like terms: 3n + 37n = 40n 9 + 40n = 3 + -37n + 37n Combine like terms: -37n + 37n = 0 9 + 40n = 3 + 0 9 + 40n = 3 Add '-9' to each side of the equation. 9 + -9 + 40n = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 40n = 3 + -9 40n = 3 + -9 Combine like terms: 3 + -9 = -6 40n = -6 Divide each side by '40'. n = -0.15 Simplifying n = -0.15
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