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Simplifying 8(n + 3) = 6(n + 1) Reorder the terms: 8(3 + n) = 6(n + 1) (3 * 8 + n * 8) = 6(n + 1) (24 + 8n) = 6(n + 1) Reorder the terms: 24 + 8n = 6(1 + n) 24 + 8n = (1 * 6 + n * 6) 24 + 8n = (6 + 6n) Solving 24 + 8n = 6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 24 + 8n + -6n = 6 + 6n + -6n Combine like terms: 8n + -6n = 2n 24 + 2n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 24 + 2n = 6 + 0 24 + 2n = 6 Add '-24' to each side of the equation. 24 + -24 + 2n = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 2n = 6 + -24 2n = 6 + -24 Combine like terms: 6 + -24 = -18 2n = -18 Divide each side by '2'. n = -9 Simplifying n = -9
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