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Simplifying n + 2 + -6 = 12 + -1n Reorder the terms: 2 + -6 + n = 12 + -1n Combine like terms: 2 + -6 = -4 -4 + n = 12 + -1n Solving -4 + n = 12 + -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. -4 + n + n = 12 + -1n + n Combine like terms: n + n = 2n -4 + 2n = 12 + -1n + n Combine like terms: -1n + n = 0 -4 + 2n = 12 + 0 -4 + 2n = 12 Add '4' to each side of the equation. -4 + 4 + 2n = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = 12 + 4 2n = 12 + 4 Combine like terms: 12 + 4 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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