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Simplifying 7(n + 5) = 4(n + -9) Reorder the terms: 7(5 + n) = 4(n + -9) (5 * 7 + n * 7) = 4(n + -9) (35 + 7n) = 4(n + -9) Reorder the terms: 35 + 7n = 4(-9 + n) 35 + 7n = (-9 * 4 + n * 4) 35 + 7n = (-36 + 4n) Solving 35 + 7n = -36 + 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. 35 + 7n + -4n = -36 + 4n + -4n Combine like terms: 7n + -4n = 3n 35 + 3n = -36 + 4n + -4n Combine like terms: 4n + -4n = 0 35 + 3n = -36 + 0 35 + 3n = -36 Add '-35' to each side of the equation. 35 + -35 + 3n = -36 + -35 Combine like terms: 35 + -35 = 0 0 + 3n = -36 + -35 3n = -36 + -35 Combine like terms: -36 + -35 = -71 3n = -71 Divide each side by '3'. n = -23.66666667 Simplifying n = -23.66666667
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