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Simplifying n + -6 = 8 + n + -2 + -2n Reorder the terms: -6 + n = 8 + n + -2 + -2n Reorder the terms: -6 + n = 8 + -2 + n + -2n Combine like terms: 8 + -2 = 6 -6 + n = 6 + n + -2n Combine like terms: n + -2n = -1n -6 + n = 6 + -1n Solving -6 + n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -6 + n + n = 6 + -1n + n Combine like terms: n + n = 2n -6 + 2n = 6 + -1n + n Combine like terms: -1n + n = 0 -6 + 2n = 6 + 0 -6 + 2n = 6 Add '6' to each side of the equation. -6 + 6 + 2n = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 6 + 6 2n = 6 + 6 Combine like terms: 6 + 6 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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