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Simplifying -3(n + 9) = 7 + -2n Reorder the terms: -3(9 + n) = 7 + -2n (9 * -3 + n * -3) = 7 + -2n (-27 + -3n) = 7 + -2n Solving -27 + -3n = 7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -27 + -3n + 2n = 7 + -2n + 2n Combine like terms: -3n + 2n = -1n -27 + -1n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 -27 + -1n = 7 + 0 -27 + -1n = 7 Add '27' to each side of the equation. -27 + 27 + -1n = 7 + 27 Combine like terms: -27 + 27 = 0 0 + -1n = 7 + 27 -1n = 7 + 27 Combine like terms: 7 + 27 = 34 -1n = 34 Divide each side by '-1'. n = -34 Simplifying n = -34
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