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Simplifying 3(n + -5) = 5(n + -2) Reorder the terms: 3(-5 + n) = 5(n + -2) (-5 * 3 + n * 3) = 5(n + -2) (-15 + 3n) = 5(n + -2) Reorder the terms: -15 + 3n = 5(-2 + n) -15 + 3n = (-2 * 5 + n * 5) -15 + 3n = (-10 + 5n) Solving -15 + 3n = -10 + 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 + 3n + -5n = -10 + 5n + -5n Combine like terms: 3n + -5n = -2n -15 + -2n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 -15 + -2n = -10 + 0 -15 + -2n = -10 Add '15' to each side of the equation. -15 + 15 + -2n = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -2n = -10 + 15 -2n = -10 + 15 Combine like terms: -10 + 15 = 5 -2n = 5 Divide each side by '-2'. n = -2.5 Simplifying n = -2.5
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