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Simplifying n + -6 = 3 + 2n + -8 + -9 Reorder the terms: -6 + n = 3 + 2n + -8 + -9 Reorder the terms: -6 + n = 3 + -8 + -9 + 2n Combine like terms: 3 + -8 = -5 -6 + n = -5 + -9 + 2n Combine like terms: -5 + -9 = -14 -6 + n = -14 + 2n Solving -6 + n = -14 + 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 = -14 + 2n + -2n Combine like terms: n + -2n = -1n -6 + -1n = -14 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + -1n = -14 + 0 -6 + -1n = -14 Add '6' to each side of the equation. -6 + 6 + -1n = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = -14 + 6 -1n = -14 + 6 Combine like terms: -14 + 6 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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