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Simplifying 3(4n + 5) = 2n + 5 Reorder the terms: 3(5 + 4n) = 2n + 5 (5 * 3 + 4n * 3) = 2n + 5 (15 + 12n) = 2n + 5 Reorder the terms: 15 + 12n = 5 + 2n Solving 15 + 12n = 5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 15 + 12n + -2n = 5 + 2n + -2n Combine like terms: 12n + -2n = 10n 15 + 10n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + 10n = 5 + 0 15 + 10n = 5 Add '-15' to each side of the equation. 15 + -15 + 10n = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 10n = 5 + -15 10n = 5 + -15 Combine like terms: 5 + -15 = -10 10n = -10 Divide each side by '10'. n = -1 Simplifying n = -1
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