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Simplifying 591 = -9 + 10(9n + 6) Reorder the terms: 591 = -9 + 10(6 + 9n) 591 = -9 + (6 * 10 + 9n * 10) 591 = -9 + (60 + 90n) Combine like terms: -9 + 60 = 51 591 = 51 + 90n Solving 591 = 51 + 90n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-90n' to each side of the equation. 591 + -90n = 51 + 90n + -90n Combine like terms: 90n + -90n = 0 591 + -90n = 51 + 0 591 + -90n = 51 Add '-591' to each side of the equation. 591 + -591 + -90n = 51 + -591 Combine like terms: 591 + -591 = 0 0 + -90n = 51 + -591 -90n = 51 + -591 Combine like terms: 51 + -591 = -540 -90n = -540 Divide each side by '-90'. n = 6 Simplifying n = 6
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