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Simplifying 2n + 5 + 2n = 8n + 3 + -2n Reorder the terms: 5 + 2n + 2n = 8n + 3 + -2n Combine like terms: 2n + 2n = 4n 5 + 4n = 8n + 3 + -2n Reorder the terms: 5 + 4n = 3 + 8n + -2n Combine like terms: 8n + -2n = 6n 5 + 4n = 3 + 6n Solving 5 + 4n = 3 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5 + 4n + -6n = 3 + 6n + -6n Combine like terms: 4n + -6n = -2n 5 + -2n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + -2n = 3 + 0 5 + -2n = 3 Add '-5' to each side of the equation. 5 + -5 + -2n = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 3 + -5 -2n = 3 + -5 Combine like terms: 3 + -5 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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