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Simplifying -5(n + 3) = 5(-6n + 2) Reorder the terms: -5(3 + n) = 5(-6n + 2) (3 * -5 + n * -5) = 5(-6n + 2) (-15 + -5n) = 5(-6n + 2) Reorder the terms: -15 + -5n = 5(2 + -6n) -15 + -5n = (2 * 5 + -6n * 5) -15 + -5n = (10 + -30n) Solving -15 + -5n = 10 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -15 + -5n + 30n = 10 + -30n + 30n Combine like terms: -5n + 30n = 25n -15 + 25n = 10 + -30n + 30n Combine like terms: -30n + 30n = 0 -15 + 25n = 10 + 0 -15 + 25n = 10 Add '15' to each side of the equation. -15 + 15 + 25n = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 25n = 10 + 15 25n = 10 + 15 Combine like terms: 10 + 15 = 25 25n = 25 Divide each side by '25'. n = 1 Simplifying n = 1
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