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Simplifying -5n + 5(4n + 8) = 145 Reorder the terms: -5n + 5(8 + 4n) = 145 -5n + (8 * 5 + 4n * 5) = 145 -5n + (40 + 20n) = 145 Reorder the terms: 40 + -5n + 20n = 145 Combine like terms: -5n + 20n = 15n 40 + 15n = 145 Solving 40 + 15n = 145 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 15n = 145 + -40 Combine like terms: 40 + -40 = 0 0 + 15n = 145 + -40 15n = 145 + -40 Combine like terms: 145 + -40 = 105 15n = 105 Divide each side by '15'. n = 7 Simplifying n = 7
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