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Simplifying -8 + 2n + 14 = 4n + -16 Reorder the terms: -8 + 14 + 2n = 4n + -16 Combine like terms: -8 + 14 = 6 6 + 2n = 4n + -16 Reorder the terms: 6 + 2n = -16 + 4n Solving 6 + 2n = -16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 6 + 2n + -4n = -16 + 4n + -4n Combine like terms: 2n + -4n = -2n 6 + -2n = -16 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + -2n = -16 + 0 6 + -2n = -16 Add '-6' to each side of the equation. 6 + -6 + -2n = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = -16 + -6 -2n = -16 + -6 Combine like terms: -16 + -6 = -22 -2n = -22 Divide each side by '-2'. n = 11 Simplifying n = 11
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