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Simplifying -4(n + -9) = 9 + -3n Reorder the terms: -4(-9 + n) = 9 + -3n (-9 * -4 + n * -4) = 9 + -3n (36 + -4n) = 9 + -3n Solving 36 + -4n = 9 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 36 + -4n + 3n = 9 + -3n + 3n Combine like terms: -4n + 3n = -1n 36 + -1n = 9 + -3n + 3n Combine like terms: -3n + 3n = 0 36 + -1n = 9 + 0 36 + -1n = 9 Add '-36' to each side of the equation. 36 + -36 + -1n = 9 + -36 Combine like terms: 36 + -36 = 0 0 + -1n = 9 + -36 -1n = 9 + -36 Combine like terms: 9 + -36 = -27 -1n = -27 Divide each side by '-1'. n = 27 Simplifying n = 27
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