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Simplifying 20 + 6n = 4(1 + 2n) 20 + 6n = (1 * 4 + 2n * 4) 20 + 6n = (4 + 8n) Solving 20 + 6n = 4 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 20 + 6n + -8n = 4 + 8n + -8n Combine like terms: 6n + -8n = -2n 20 + -2n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 20 + -2n = 4 + 0 20 + -2n = 4 Add '-20' to each side of the equation. 20 + -20 + -2n = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -2n = 4 + -20 -2n = 4 + -20 Combine like terms: 4 + -20 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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