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Simplifying 2 + 2n = 5n + 8 Reorder the terms: 2 + 2n = 8 + 5n Solving 2 + 2n = 8 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 2 + 2n + -5n = 8 + 5n + -5n Combine like terms: 2n + -5n = -3n 2 + -3n = 8 + 5n + -5n Combine like terms: 5n + -5n = 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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