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Simplifying -8 + 2n + 14 = -2n + 4 Reorder the terms: -8 + 14 + 2n = -2n + 4 Combine like terms: -8 + 14 = 6 6 + 2n = -2n + 4 Reorder the terms: 6 + 2n = 4 + -2n Solving 6 + 2n = 4 + -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. 6 + 2n + 2n = 4 + -2n + 2n Combine like terms: 2n + 2n = 4n 6 + 4n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + 4n = 4 + 0 6 + 4n = 4 Add '-6' to each side of the equation. 6 + -6 + 4n = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 4n = 4 + -6 4n = 4 + -6 Combine like terms: 4 + -6 = -2 4n = -2 Divide each side by '4'. n = -0.5 Simplifying n = -0.5
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