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Simplifying -4(n + 2) + -5(n + -5) = 35 Reorder the terms: -4(2 + n) + -5(n + -5) = 35 (2 * -4 + n * -4) + -5(n + -5) = 35 (-8 + -4n) + -5(n + -5) = 35 Reorder the terms: -8 + -4n + -5(-5 + n) = 35 -8 + -4n + (-5 * -5 + n * -5) = 35 -8 + -4n + (25 + -5n) = 35 Reorder the terms: -8 + 25 + -4n + -5n = 35 Combine like terms: -8 + 25 = 17 17 + -4n + -5n = 35 Combine like terms: -4n + -5n = -9n 17 + -9n = 35 Solving 17 + -9n = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -9n = 35 + -17 Combine like terms: 17 + -17 = 0 0 + -9n = 35 + -17 -9n = 35 + -17 Combine like terms: 35 + -17 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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