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Simplifying 8 + 15n + -7 = 9n + 82 + -3n Reorder the terms: 8 + -7 + 15n = 9n + 82 + -3n Combine like terms: 8 + -7 = 1 1 + 15n = 9n + 82 + -3n Reorder the terms: 1 + 15n = 82 + 9n + -3n Combine like terms: 9n + -3n = 6n 1 + 15n = 82 + 6n Solving 1 + 15n = 82 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 1 + 15n + -6n = 82 + 6n + -6n Combine like terms: 15n + -6n = 9n 1 + 9n = 82 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + 9n = 82 + 0 1 + 9n = 82 Add '-1' to each side of the equation. 1 + -1 + 9n = 82 + -1 Combine like terms: 1 + -1 = 0 0 + 9n = 82 + -1 9n = 82 + -1 Combine like terms: 82 + -1 = 81 9n = 81 Divide each side by '9'. n = 9 Simplifying n = 9
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