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Simplifying 3 + 17n + -2 = 6n + 105 + -2n Reorder the terms: 3 + -2 + 17n = 6n + 105 + -2n Combine like terms: 3 + -2 = 1 1 + 17n = 6n + 105 + -2n Reorder the terms: 1 + 17n = 105 + 6n + -2n Combine like terms: 6n + -2n = 4n 1 + 17n = 105 + 4n Solving 1 + 17n = 105 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 1 + 17n + -4n = 105 + 4n + -4n Combine like terms: 17n + -4n = 13n 1 + 13n = 105 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + 13n = 105 + 0 1 + 13n = 105 Add '-1' to each side of the equation. 1 + -1 + 13n = 105 + -1 Combine like terms: 1 + -1 = 0 0 + 13n = 105 + -1 13n = 105 + -1 Combine like terms: 105 + -1 = 104 13n = 104 Divide each side by '13'. n = 8 Simplifying n = 8
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