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Simplifying -3(n + 3) + -8 = -29 + -6n Reorder the terms: -3(3 + n) + -8 = -29 + -6n (3 * -3 + n * -3) + -8 = -29 + -6n (-9 + -3n) + -8 = -29 + -6n Reorder the terms: -9 + -8 + -3n = -29 + -6n Combine like terms: -9 + -8 = -17 -17 + -3n = -29 + -6n Solving -17 + -3n = -29 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -17 + -3n + 6n = -29 + -6n + 6n Combine like terms: -3n + 6n = 3n -17 + 3n = -29 + -6n + 6n Combine like terms: -6n + 6n = 0 -17 + 3n = -29 + 0 -17 + 3n = -29 Add '17' to each side of the equation. -17 + 17 + 3n = -29 + 17 Combine like terms: -17 + 17 = 0 0 + 3n = -29 + 17 3n = -29 + 17 Combine like terms: -29 + 17 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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