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Simplifying -2(3n + 5) + 3(n + -5) = 0 Reorder the terms: -2(5 + 3n) + 3(n + -5) = 0 (5 * -2 + 3n * -2) + 3(n + -5) = 0 (-10 + -6n) + 3(n + -5) = 0 Reorder the terms: -10 + -6n + 3(-5 + n) = 0 -10 + -6n + (-5 * 3 + n * 3) = 0 -10 + -6n + (-15 + 3n) = 0 Reorder the terms: -10 + -15 + -6n + 3n = 0 Combine like terms: -10 + -15 = -25 -25 + -6n + 3n = 0 Combine like terms: -6n + 3n = -3n -25 + -3n = 0 Solving -25 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -3n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -3n = 0 + 25 -3n = 0 + 25 Combine like terms: 0 + 25 = 25 -3n = 25 Divide each side by '-3'. n = -8.333333333 Simplifying n = -8.333333333
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