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Simplifying 2(n + 6) = 7 + -1n Reorder the terms: 2(6 + n) = 7 + -1n (6 * 2 + n * 2) = 7 + -1n (12 + 2n) = 7 + -1n Solving 12 + 2n = 7 + -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. 12 + 2n + n = 7 + -1n + n Combine like terms: 2n + n = 3n 12 + 3n = 7 + -1n + n Combine like terms: -1n + n = 0 12 + 3n = 7 + 0 12 + 3n = 7 Add '-12' to each side of the equation. 12 + -12 + 3n = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 7 + -12 3n = 7 + -12 Combine like terms: 7 + -12 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667
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