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Simplifying -4(n + 5) = 5(n + -4) Reorder the terms: -4(5 + n) = 5(n + -4) (5 * -4 + n * -4) = 5(n + -4) (-20 + -4n) = 5(n + -4) Reorder the terms: -20 + -4n = 5(-4 + n) -20 + -4n = (-4 * 5 + n * 5) -20 + -4n = (-20 + 5n) Add '20' to each side of the equation. -20 + 20 + -4n = -20 + 20 + 5n Combine like terms: -20 + 20 = 0 0 + -4n = -20 + 20 + 5n -4n = -20 + 20 + 5n Combine like terms: -20 + 20 = 0 -4n = 0 + 5n -4n = 5n Solving -4n = 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. -4n + -5n = 5n + -5n Combine like terms: -4n + -5n = -9n -9n = 5n + -5n Combine like terms: 5n + -5n = 0 -9n = 0 Divide each side by '-9'. n = 0 Simplifying n = 0
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