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Simplifying 3(2n + 6) = 6(n + 2) + -8n Reorder the terms: 3(6 + 2n) = 6(n + 2) + -8n (6 * 3 + 2n * 3) = 6(n + 2) + -8n (18 + 6n) = 6(n + 2) + -8n Reorder the terms: 18 + 6n = 6(2 + n) + -8n 18 + 6n = (2 * 6 + n * 6) + -8n 18 + 6n = (12 + 6n) + -8n Combine like terms: 6n + -8n = -2n 18 + 6n = 12 + -2n Solving 18 + 6n = 12 + -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. 18 + 6n + 2n = 12 + -2n + 2n Combine like terms: 6n + 2n = 8n 18 + 8n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 18 + 8n = 12 + 0 18 + 8n = 12 Add '-18' to each side of the equation. 18 + -18 + 8n = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 8n = 12 + -18 8n = 12 + -18 Combine like terms: 12 + -18 = -6 8n = -6 Divide each side by '8'. n = -0.75 Simplifying n = -0.75
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