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Simplifying 4 + 7n + -2 = 6n + 8 + -2n Reorder the terms: 4 + -2 + 7n = 6n + 8 + -2n Combine like terms: 4 + -2 = 2 2 + 7n = 6n + 8 + -2n Reorder the terms: 2 + 7n = 8 + 6n + -2n Combine like terms: 6n + -2n = 4n 2 + 7n = 8 + 4n Solving 2 + 7n = 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. 2 + 7n + -4n = 8 + 4n + -4n Combine like terms: 7n + -4n = 3n 2 + 3n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 3n = 8 + 0 2 + 3n = 8 Add '-2' to each side of the equation. 2 + -2 + 3n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 8 + -2 3n = 8 + -2 Combine like terms: 8 + -2 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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