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Simplifying 2n + 14 = -2(n + 5) Reorder the terms: 14 + 2n = -2(n + 5) Reorder the terms: 14 + 2n = -2(5 + n) 14 + 2n = (5 * -2 + n * -2) 14 + 2n = (-10 + -2n) Solving 14 + 2n = -10 + -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 = -10 + -2n + 2n Combine like terms: 2n + 2n = 4n 14 + 4n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 14 + 4n = -10 + 0 14 + 4n = -10 Add '-14' to each side of the equation. 14 + -14 + 4n = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 4n = -10 + -14 4n = -10 + -14 Combine like terms: -10 + -14 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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