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Simplifying 3n + 4 = 5(n + 20 + -2n) Reorder the terms: 4 + 3n = 5(n + 20 + -2n) Reorder the terms: 4 + 3n = 5(20 + n + -2n) Combine like terms: n + -2n = -1n 4 + 3n = 5(20 + -1n) 4 + 3n = (20 * 5 + -1n * 5) 4 + 3n = (100 + -5n) Solving 4 + 3n = 100 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 4 + 3n + 5n = 100 + -5n + 5n Combine like terms: 3n + 5n = 8n 4 + 8n = 100 + -5n + 5n Combine like terms: -5n + 5n = 0 4 + 8n = 100 + 0 4 + 8n = 100 Add '-4' to each side of the equation. 4 + -4 + 8n = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 8n = 100 + -4 8n = 100 + -4 Combine like terms: 100 + -4 = 96 8n = 96 Divide each side by '8'. n = 12 Simplifying n = 12
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