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Simplifying 5n + -8 = 4n + 2 Reorder the terms: -8 + 5n = 4n + 2 Reorder the terms: -8 + 5n = 2 + 4n Solving -8 + 5n = 2 + 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 = 2 + 4n + -4n Combine like terms: 5n + -4n = 1n -8 + 1n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 -8 + 1n = 2 + 0 -8 + 1n = 2 Add '8' to each side of the equation. -8 + 8 + 1n = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = 2 + 8 1n = 2 + 8 Combine like terms: 2 + 8 = 10 1n = 10 Divide each side by '1'. n = 10 Simplifying n = 10
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