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Simplifying 3(6n + 2) + 2n = -17 + -3n Reorder the terms: 3(2 + 6n) + 2n = -17 + -3n (2 * 3 + 6n * 3) + 2n = -17 + -3n (6 + 18n) + 2n = -17 + -3n Combine like terms: 18n + 2n = 20n 6 + 20n = -17 + -3n Solving 6 + 20n = -17 + -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. 6 + 20n + 3n = -17 + -3n + 3n Combine like terms: 20n + 3n = 23n 6 + 23n = -17 + -3n + 3n Combine like terms: -3n + 3n = 0 6 + 23n = -17 + 0 6 + 23n = -17 Add '-6' to each side of the equation. 6 + -6 + 23n = -17 + -6 Combine like terms: 6 + -6 = 0 0 + 23n = -17 + -6 23n = -17 + -6 Combine like terms: -17 + -6 = -23 23n = -23 Divide each side by '23'. n = -1 Simplifying n = -1
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