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Simplifying 1 + 6n + 8 = -5(n + 3) + 8(n + 3) Reorder the terms: 1 + 8 + 6n = -5(n + 3) + 8(n + 3) Combine like terms: 1 + 8 = 9 9 + 6n = -5(n + 3) + 8(n + 3) Reorder the terms: 9 + 6n = -5(3 + n) + 8(n + 3) 9 + 6n = (3 * -5 + n * -5) + 8(n + 3) 9 + 6n = (-15 + -5n) + 8(n + 3) Reorder the terms: 9 + 6n = -15 + -5n + 8(3 + n) 9 + 6n = -15 + -5n + (3 * 8 + n * 8) 9 + 6n = -15 + -5n + (24 + 8n) Reorder the terms: 9 + 6n = -15 + 24 + -5n + 8n Combine like terms: -15 + 24 = 9 9 + 6n = 9 + -5n + 8n Combine like terms: -5n + 8n = 3n 9 + 6n = 9 + 3n Add '-9' to each side of the equation. 9 + -9 + 6n = 9 + -9 + 3n Combine like terms: 9 + -9 = 0 0 + 6n = 9 + -9 + 3n 6n = 9 + -9 + 3n Combine like terms: 9 + -9 = 0 6n = 0 + 3n 6n = 3n Solving 6n = 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. 6n + -3n = 3n + -3n Combine like terms: 6n + -3n = 3n 3n = 3n + -3n Combine like terms: 3n + -3n = 0 3n = 0 Divide each side by '3'. n = 0 Simplifying n = 0
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