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Simplifying n + -6 = 8 + 9 + -2 + -2n Reorder the terms: -6 + n = 8 + 9 + -2 + -2n Combine like terms: 8 + 9 = 17 -6 + n = 17 + -2 + -2n Combine like terms: 17 + -2 = 15 -6 + n = 15 + -2n Solving -6 + n = 15 + -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. -6 + n + 2n = 15 + -2n + 2n Combine like terms: n + 2n = 3n -6 + 3n = 15 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 3n = 15 + 0 -6 + 3n = 15 Add '6' to each side of the equation. -6 + 6 + 3n = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 15 + 6 3n = 15 + 6 Combine like terms: 15 + 6 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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