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Simplifying 3(-9 + n) = 13 + 5n (-9 * 3 + n * 3) = 13 + 5n (-27 + 3n) = 13 + 5n Solving -27 + 3n = 13 + 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. -27 + 3n + -5n = 13 + 5n + -5n Combine like terms: 3n + -5n = -2n -27 + -2n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 -27 + -2n = 13 + 0 -27 + -2n = 13 Add '27' to each side of the equation. -27 + 27 + -2n = 13 + 27 Combine like terms: -27 + 27 = 0 0 + -2n = 13 + 27 -2n = 13 + 27 Combine like terms: 13 + 27 = 40 -2n = 40 Divide each side by '-2'. n = -20 Simplifying n = -20
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