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Simplifying 3(4n + -5) = 2(3n + 10) + -5 Reorder the terms: 3(-5 + 4n) = 2(3n + 10) + -5 (-5 * 3 + 4n * 3) = 2(3n + 10) + -5 (-15 + 12n) = 2(3n + 10) + -5 Reorder the terms: -15 + 12n = 2(10 + 3n) + -5 -15 + 12n = (10 * 2 + 3n * 2) + -5 -15 + 12n = (20 + 6n) + -5 Reorder the terms: -15 + 12n = 20 + -5 + 6n Combine like terms: 20 + -5 = 15 -15 + 12n = 15 + 6n Solving -15 + 12n = 15 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -15 + 12n + -6n = 15 + 6n + -6n Combine like terms: 12n + -6n = 6n -15 + 6n = 15 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + 6n = 15 + 0 -15 + 6n = 15 Add '15' to each side of the equation. -15 + 15 + 6n = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 15 + 15 6n = 15 + 15 Combine like terms: 15 + 15 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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