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Simplifying 5(n + 2) + -3(3n + -5) = 12 Reorder the terms: 5(2 + n) + -3(3n + -5) = 12 (2 * 5 + n * 5) + -3(3n + -5) = 12 (10 + 5n) + -3(3n + -5) = 12 Reorder the terms: 10 + 5n + -3(-5 + 3n) = 12 10 + 5n + (-5 * -3 + 3n * -3) = 12 10 + 5n + (15 + -9n) = 12 Reorder the terms: 10 + 15 + 5n + -9n = 12 Combine like terms: 10 + 15 = 25 25 + 5n + -9n = 12 Combine like terms: 5n + -9n = -4n 25 + -4n = 12 Solving 25 + -4n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4n = 12 + -25 Combine like terms: 25 + -25 = 0 0 + -4n = 12 + -25 -4n = 12 + -25 Combine like terms: 12 + -25 = -13 -4n = -13 Divide each side by '-4'. n = 3.25 Simplifying n = 3.25
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