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Simplifying 5 + -1(n + -9) = 3(n + 2) Reorder the terms: 5 + -1(-9 + n) = 3(n + 2) 5 + (-9 * -1 + n * -1) = 3(n + 2) 5 + (9 + -1n) = 3(n + 2) Combine like terms: 5 + 9 = 14 14 + -1n = 3(n + 2) Reorder the terms: 14 + -1n = 3(2 + n) 14 + -1n = (2 * 3 + n * 3) 14 + -1n = (6 + 3n) Solving 14 + -1n = 6 + 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. 14 + -1n + -3n = 6 + 3n + -3n Combine like terms: -1n + -3n = -4n 14 + -4n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + -4n = 6 + 0 14 + -4n = 6 Add '-14' to each side of the equation. 14 + -14 + -4n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = 6 + -14 -4n = 6 + -14 Combine like terms: 6 + -14 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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