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Simplifying 2n + 3n + 8 = 7 + 4n + 5 Reorder the terms: 8 + 2n + 3n = 7 + 4n + 5 Combine like terms: 2n + 3n = 5n 8 + 5n = 7 + 4n + 5 Reorder the terms: 8 + 5n = 7 + 5 + 4n Combine like terms: 7 + 5 = 12 8 + 5n = 12 + 4n Solving 8 + 5n = 12 + 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. 8 + 5n + -4n = 12 + 4n + -4n Combine like terms: 5n + -4n = 1n 8 + 1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + 1n = 12 + 0 8 + 1n = 12 Add '-8' to each side of the equation. 8 + -8 + 1n = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 12 + -8 1n = 12 + -8 Combine like terms: 12 + -8 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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