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Simplifying 2n + 2(n + -5) + 21 = 0 Reorder the terms: 2n + 2(-5 + n) + 21 = 0 2n + (-5 * 2 + n * 2) + 21 = 0 2n + (-10 + 2n) + 21 = 0 Reorder the terms: -10 + 21 + 2n + 2n = 0 Combine like terms: -10 + 21 = 11 11 + 2n + 2n = 0 Combine like terms: 2n + 2n = 4n 11 + 4n = 0 Solving 11 + 4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4n = 0 + -11 4n = 0 + -11 Combine like terms: 0 + -11 = -11 4n = -11 Divide each side by '4'. n = -2.75 Simplifying n = -2.75
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