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Simplifying 3(6n + 7) + 8n = -3 + 2n Reorder the terms: 3(7 + 6n) + 8n = -3 + 2n (7 * 3 + 6n * 3) + 8n = -3 + 2n (21 + 18n) + 8n = -3 + 2n Combine like terms: 18n + 8n = 26n 21 + 26n = -3 + 2n Solving 21 + 26n = -3 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 21 + 26n + -2n = -3 + 2n + -2n Combine like terms: 26n + -2n = 24n 21 + 24n = -3 + 2n + -2n Combine like terms: 2n + -2n = 0 21 + 24n = -3 + 0 21 + 24n = -3 Add '-21' to each side of the equation. 21 + -21 + 24n = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 24n = -3 + -21 24n = -3 + -21 Combine like terms: -3 + -21 = -24 24n = -24 Divide each side by '24'. n = -1 Simplifying n = -1
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