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Simplifying 2(n + 7) = 4 + -2(n + -4) Reorder the terms: 2(7 + n) = 4 + -2(n + -4) (7 * 2 + n * 2) = 4 + -2(n + -4) (14 + 2n) = 4 + -2(n + -4) Reorder the terms: 14 + 2n = 4 + -2(-4 + n) 14 + 2n = 4 + (-4 * -2 + n * -2) 14 + 2n = 4 + (8 + -2n) Combine like terms: 4 + 8 = 12 14 + 2n = 12 + -2n Solving 14 + 2n = 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. 14 + 2n + 2n = 12 + -2n + 2n Combine like terms: 2n + 2n = 4n 14 + 4n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 14 + 4n = 12 + 0 14 + 4n = 12 Add '-14' to each side of the equation. 14 + -14 + 4n = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 4n = 12 + -14 4n = 12 + -14 Combine like terms: 12 + -14 = -2 4n = -2 Divide each side by '4'. n = -0.5 Simplifying n = -0.5
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