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Simplifying 5 + 2n + -1 = 6n + 8 + -2n Reorder the terms: 5 + -1 + 2n = 6n + 8 + -2n Combine like terms: 5 + -1 = 4 4 + 2n = 6n + 8 + -2n Reorder the terms: 4 + 2n = 8 + 6n + -2n Combine like terms: 6n + -2n = 4n 4 + 2n = 8 + 4n Solving 4 + 2n = 8 + 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. 4 + 2n + -4n = 8 + 4n + -4n Combine like terms: 2n + -4n = -2n 4 + -2n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + -2n = 8 + 0 4 + -2n = 8 Add '-4' to each side of the equation. 4 + -4 + -2n = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = 8 + -4 -2n = 8 + -4 Combine like terms: 8 + -4 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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