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Simplifying -8n + 18 = 6(3 + 7n) + 2n Reorder the terms: 18 + -8n = 6(3 + 7n) + 2n 18 + -8n = (3 * 6 + 7n * 6) + 2n 18 + -8n = (18 + 42n) + 2n Combine like terms: 42n + 2n = 44n 18 + -8n = 18 + 44n Add '-18' to each side of the equation. 18 + -18 + -8n = 18 + -18 + 44n Combine like terms: 18 + -18 = 0 0 + -8n = 18 + -18 + 44n -8n = 18 + -18 + 44n Combine like terms: 18 + -18 = 0 -8n = 0 + 44n -8n = 44n Solving -8n = 44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44n' to each side of the equation. -8n + -44n = 44n + -44n Combine like terms: -8n + -44n = -52n -52n = 44n + -44n Combine like terms: 44n + -44n = 0 -52n = 0 Divide each side by '-52'. n = 0 Simplifying n = 0
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