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Simplifying (3n + 4) = 5(1n + 2 + -2n) Reorder the terms: (4 + 3n) = 5(1n + 2 + -2n) Remove parenthesis around (4 + 3n) 4 + 3n = 5(1n + 2 + -2n) Reorder the terms: 4 + 3n = 5(2 + 1n + -2n) Combine like terms: 1n + -2n = -1n 4 + 3n = 5(2 + -1n) 4 + 3n = (2 * 5 + -1n * 5) 4 + 3n = (10 + -5n) Solving 4 + 3n = 10 + -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 = 10 + -5n + 5n Combine like terms: 3n + 5n = 8n 4 + 8n = 10 + -5n + 5n Combine like terms: -5n + 5n = 0 4 + 8n = 10 + 0 4 + 8n = 10 Add '-4' to each side of the equation. 4 + -4 + 8n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 8n = 10 + -4 8n = 10 + -4 Combine like terms: 10 + -4 = 6 8n = 6 Divide each side by '8'. n = 0.75 Simplifying n = 0.75
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