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Simplifying 58 = 5(3 + 8n) + 3n 58 = (3 * 5 + 8n * 5) + 3n 58 = (15 + 40n) + 3n Combine like terms: 40n + 3n = 43n 58 = 15 + 43n Solving 58 = 15 + 43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43n' to each side of the equation. 58 + -43n = 15 + 43n + -43n Combine like terms: 43n + -43n = 0 58 + -43n = 15 + 0 58 + -43n = 15 Add '-58' to each side of the equation. 58 + -58 + -43n = 15 + -58 Combine like terms: 58 + -58 = 0 0 + -43n = 15 + -58 -43n = 15 + -58 Combine like terms: 15 + -58 = -43 -43n = -43 Divide each side by '-43'. n = 1 Simplifying n = 1
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