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Simplifying 2(5 + -3n) = -17 + -9n (5 * 2 + -3n * 2) = -17 + -9n (10 + -6n) = -17 + -9n Solving 10 + -6n = -17 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 10 + -6n + 9n = -17 + -9n + 9n Combine like terms: -6n + 9n = 3n 10 + 3n = -17 + -9n + 9n Combine like terms: -9n + 9n = 0 10 + 3n = -17 + 0 10 + 3n = -17 Add '-10' to each side of the equation. 10 + -10 + 3n = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = -17 + -10 3n = -17 + -10 Combine like terms: -17 + -10 = -27 3n = -27 Divide each side by '3'. n = -9 Simplifying n = -9
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