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Simplifying -6(n + 4) + 27 = -2n + -17 Reorder the terms: -6(4 + n) + 27 = -2n + -17 (4 * -6 + n * -6) + 27 = -2n + -17 (-24 + -6n) + 27 = -2n + -17 Reorder the terms: -24 + 27 + -6n = -2n + -17 Combine like terms: -24 + 27 = 3 3 + -6n = -2n + -17 Reorder the terms: 3 + -6n = -17 + -2n Solving 3 + -6n = -17 + -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. 3 + -6n + 2n = -17 + -2n + 2n Combine like terms: -6n + 2n = -4n 3 + -4n = -17 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + -4n = -17 + 0 3 + -4n = -17 Add '-3' to each side of the equation. 3 + -3 + -4n = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = -17 + -3 -4n = -17 + -3 Combine like terms: -17 + -3 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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