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Simplifying 5n + -2 = 4n + 6 Reorder the terms: -2 + 5n = 4n + 6 Reorder the terms: -2 + 5n = 6 + 4n Solving -2 + 5n = 6 + 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 + 5n + -4n = 6 + 4n + -4n Combine like terms: 5n + -4n = 1n -2 + 1n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -2 + 1n = 6 + 0 -2 + 1n = 6 Add '2' to each side of the equation. -2 + 2 + 1n = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = 6 + 2 1n = 6 + 2 Combine like terms: 6 + 2 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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