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Simplifying 3(4n + 5) + -2n = 5(n + -6) Reorder the terms: 3(5 + 4n) + -2n = 5(n + -6) (5 * 3 + 4n * 3) + -2n = 5(n + -6) (15 + 12n) + -2n = 5(n + -6) Combine like terms: 12n + -2n = 10n 15 + 10n = 5(n + -6) Reorder the terms: 15 + 10n = 5(-6 + n) 15 + 10n = (-6 * 5 + n * 5) 15 + 10n = (-30 + 5n) Solving 15 + 10n = -30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 15 + 10n + -5n = -30 + 5n + -5n Combine like terms: 10n + -5n = 5n 15 + 5n = -30 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + 5n = -30 + 0 15 + 5n = -30 Add '-15' to each side of the equation. 15 + -15 + 5n = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 5n = -30 + -15 5n = -30 + -15 Combine like terms: -30 + -15 = -45 5n = -45 Divide each side by '5'. n = -9 Simplifying n = -9
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