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Simplifying -3(n + 5) = 2(n + 5) Reorder the terms: -3(5 + n) = 2(n + 5) (5 * -3 + n * -3) = 2(n + 5) (-15 + -3n) = 2(n + 5) Reorder the terms: -15 + -3n = 2(5 + n) -15 + -3n = (5 * 2 + n * 2) -15 + -3n = (10 + 2n) Solving -15 + -3n = 10 + 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 + -3n + -2n = 10 + 2n + -2n Combine like terms: -3n + -2n = -5n -15 + -5n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 -15 + -5n = 10 + 0 -15 + -5n = 10 Add '15' to each side of the equation. -15 + 15 + -5n = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -5n = 10 + 15 -5n = 10 + 15 Combine like terms: 10 + 15 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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