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Simplifying 8(n + 6) = 20 + 4n Reorder the terms: 8(6 + n) = 20 + 4n (6 * 8 + n * 8) = 20 + 4n (48 + 8n) = 20 + 4n Solving 48 + 8n = 20 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 48 + 8n + -4n = 20 + 4n + -4n Combine like terms: 8n + -4n = 4n 48 + 4n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 48 + 4n = 20 + 0 48 + 4n = 20 Add '-48' to each side of the equation. 48 + -48 + 4n = 20 + -48 Combine like terms: 48 + -48 = 0 0 + 4n = 20 + -48 4n = 20 + -48 Combine like terms: 20 + -48 = -28 4n = -28 Divide each side by '4'. n = -7 Simplifying n = -7
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