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Simplifying 295 = 5(8n + 3) Reorder the terms: 295 = 5(3 + 8n) 295 = (3 * 5 + 8n * 5) 295 = (15 + 40n) Solving 295 = 15 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 295 + -40n = 15 + 40n + -40n Combine like terms: 40n + -40n = 0 295 + -40n = 15 + 0 295 + -40n = 15 Add '-295' to each side of the equation. 295 + -295 + -40n = 15 + -295 Combine like terms: 295 + -295 = 0 0 + -40n = 15 + -295 -40n = 15 + -295 Combine like terms: 15 + -295 = -280 -40n = -280 Divide each side by '-40'. n = 7 Simplifying n = 7
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