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Simplifying 3(2n + 20) = 4(2n + -4) Reorder the terms: 3(20 + 2n) = 4(2n + -4) (20 * 3 + 2n * 3) = 4(2n + -4) (60 + 6n) = 4(2n + -4) Reorder the terms: 60 + 6n = 4(-4 + 2n) 60 + 6n = (-4 * 4 + 2n * 4) 60 + 6n = (-16 + 8n) Solving 60 + 6n = -16 + 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. 60 + 6n + -8n = -16 + 8n + -8n Combine like terms: 6n + -8n = -2n 60 + -2n = -16 + 8n + -8n Combine like terms: 8n + -8n = 0 60 + -2n = -16 + 0 60 + -2n = -16 Add '-60' to each side of the equation. 60 + -60 + -2n = -16 + -60 Combine like terms: 60 + -60 = 0 0 + -2n = -16 + -60 -2n = -16 + -60 Combine like terms: -16 + -60 = -76 -2n = -76 Divide each side by '-2'. n = 38 Simplifying n = 38
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