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Simplifying 2(n + 7) = 8 + -1n Reorder the terms: 2(7 + n) = 8 + -1n (7 * 2 + n * 2) = 8 + -1n (14 + 2n) = 8 + -1n Solving 14 + 2n = 8 + -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. 14 + 2n + n = 8 + -1n + n Combine like terms: 2n + n = 3n 14 + 3n = 8 + -1n + n Combine like terms: -1n + n = 0 14 + 3n = 8 + 0 14 + 3n = 8 Add '-14' to each side of the equation. 14 + -14 + 3n = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 3n = 8 + -14 3n = 8 + -14 Combine like terms: 8 + -14 = -6 3n = -6 Divide each side by '3'. n = -2 Simplifying n = -2
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