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Simplifying -5(n + -2) + 3(3n + -5) = 15 Reorder the terms: -5(-2 + n) + 3(3n + -5) = 15 (-2 * -5 + n * -5) + 3(3n + -5) = 15 (10 + -5n) + 3(3n + -5) = 15 Reorder the terms: 10 + -5n + 3(-5 + 3n) = 15 10 + -5n + (-5 * 3 + 3n * 3) = 15 10 + -5n + (-15 + 9n) = 15 Reorder the terms: 10 + -15 + -5n + 9n = 15 Combine like terms: 10 + -15 = -5 -5 + -5n + 9n = 15 Combine like terms: -5n + 9n = 4n -5 + 4n = 15 Solving -5 + 4n = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4n = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 15 + 5 4n = 15 + 5 Combine like terms: 15 + 5 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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