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