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Simplifying 2(n + 7) = 6(n + -1) Reorder the terms: 2(7 + n) = 6(n + -1) (7 * 2 + n * 2) = 6(n + -1) (14 + 2n) = 6(n + -1) Reorder the terms: 14 + 2n = 6(-1 + n) 14 + 2n = (-1 * 6 + n * 6) 14 + 2n = (-6 + 6n) Solving 14 + 2n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 14 + 2n + -6n = -6 + 6n + -6n Combine like terms: 2n + -6n = -4n 14 + -4n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + -4n = -6 + 0 14 + -4n = -6 Add '-14' to each side of the equation. 14 + -14 + -4n = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = -6 + -14 -4n = -6 + -14 Combine like terms: -6 + -14 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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