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Simplifying 2(n + 7) = 4 + -2(n + -5) Reorder the terms: 2(7 + n) = 4 + -2(n + -5) (7 * 2 + n * 2) = 4 + -2(n + -5) (14 + 2n) = 4 + -2(n + -5) Reorder the terms: 14 + 2n = 4 + -2(-5 + n) 14 + 2n = 4 + (-5 * -2 + n * -2) 14 + 2n = 4 + (10 + -2n) Combine like terms: 4 + 10 = 14 14 + 2n = 14 + -2n Add '-14' to each side of the equation. 14 + -14 + 2n = 14 + -14 + -2n Combine like terms: 14 + -14 = 0 0 + 2n = 14 + -14 + -2n 2n = 14 + -14 + -2n Combine like terms: 14 + -14 = 0 2n = 0 + -2n 2n = -2n Solving 2n = -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. 2n + 2n = -2n + 2n Combine like terms: 2n + 2n = 4n 4n = -2n + 2n Combine like terms: -2n + 2n = 0 4n = 0 Divide each side by '4'. n = 0 Simplifying n = 0
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