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Simplifying 8 + 9n + -1 = 5n + 55 + -2n Reorder the terms: 8 + -1 + 9n = 5n + 55 + -2n Combine like terms: 8 + -1 = 7 7 + 9n = 5n + 55 + -2n Reorder the terms: 7 + 9n = 55 + 5n + -2n Combine like terms: 5n + -2n = 3n 7 + 9n = 55 + 3n Solving 7 + 9n = 55 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + 9n + -3n = 55 + 3n + -3n Combine like terms: 9n + -3n = 6n 7 + 6n = 55 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + 6n = 55 + 0 7 + 6n = 55 Add '-7' to each side of the equation. 7 + -7 + 6n = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 55 + -7 6n = 55 + -7 Combine like terms: 55 + -7 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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