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Simplifying -5(n + -9) = 9 + -4n Reorder the terms: -5(-9 + n) = 9 + -4n (-9 * -5 + n * -5) = 9 + -4n (45 + -5n) = 9 + -4n Solving 45 + -5n = 9 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 45 + -5n + 4n = 9 + -4n + 4n Combine like terms: -5n + 4n = -1n 45 + -1n = 9 + -4n + 4n Combine like terms: -4n + 4n = 0 45 + -1n = 9 + 0 45 + -1n = 9 Add '-45' to each side of the equation. 45 + -45 + -1n = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -1n = 9 + -45 -1n = 9 + -45 Combine like terms: 9 + -45 = -36 -1n = -36 Divide each side by '-1'. n = 36 Simplifying n = 36
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