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Simplifying 8(6 + -3n) + -2n = 17 + 5n (6 * 8 + -3n * 8) + -2n = 17 + 5n (48 + -24n) + -2n = 17 + 5n Combine like terms: -24n + -2n = -26n 48 + -26n = 17 + 5n Solving 48 + -26n = 17 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 48 + -26n + -5n = 17 + 5n + -5n Combine like terms: -26n + -5n = -31n 48 + -31n = 17 + 5n + -5n Combine like terms: 5n + -5n = 0 48 + -31n = 17 + 0 48 + -31n = 17 Add '-48' to each side of the equation. 48 + -48 + -31n = 17 + -48 Combine like terms: 48 + -48 = 0 0 + -31n = 17 + -48 -31n = 17 + -48 Combine like terms: 17 + -48 = -31 -31n = -31 Divide each side by '-31'. n = 1 Simplifying n = 1
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