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Simplifying 3(n + 5) = 5(2n + -20) Reorder the terms: 3(5 + n) = 5(2n + -20) (5 * 3 + n * 3) = 5(2n + -20) (15 + 3n) = 5(2n + -20) Reorder the terms: 15 + 3n = 5(-20 + 2n) 15 + 3n = (-20 * 5 + 2n * 5) 15 + 3n = (-100 + 10n) Solving 15 + 3n = -100 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 15 + 3n + -10n = -100 + 10n + -10n Combine like terms: 3n + -10n = -7n 15 + -7n = -100 + 10n + -10n Combine like terms: 10n + -10n = 0 15 + -7n = -100 + 0 15 + -7n = -100 Add '-15' to each side of the equation. 15 + -15 + -7n = -100 + -15 Combine like terms: 15 + -15 = 0 0 + -7n = -100 + -15 -7n = -100 + -15 Combine like terms: -100 + -15 = -115 -7n = -115 Divide each side by '-7'. n = 16.42857143 Simplifying n = 16.42857143
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