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Simplifying 3(5 + -2n) = 5(n + -8) (5 * 3 + -2n * 3) = 5(n + -8) (15 + -6n) = 5(n + -8) Reorder the terms: 15 + -6n = 5(-8 + n) 15 + -6n = (-8 * 5 + n * 5) 15 + -6n = (-40 + 5n) Solving 15 + -6n = -40 + 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 + -6n + -5n = -40 + 5n + -5n Combine like terms: -6n + -5n = -11n 15 + -11n = -40 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + -11n = -40 + 0 15 + -11n = -40 Add '-15' to each side of the equation. 15 + -15 + -11n = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -11n = -40 + -15 -11n = -40 + -15 Combine like terms: -40 + -15 = -55 -11n = -55 Divide each side by '-11'. n = 5 Simplifying n = 5
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