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Simplifying 5n + -8 + -5n = n + -6n + 2 Reorder the terms: -8 + 5n + -5n = n + -6n + 2 Combine like terms: 5n + -5n = 0 -8 + 0 = n + -6n + 2 -8 = n + -6n + 2 Reorder the terms: -8 = 2 + n + -6n Combine like terms: n + -6n = -5n -8 = 2 + -5n Solving -8 = 2 + -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. -8 + 5n = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 -8 + 5n = 2 + 0 -8 + 5n = 2 Add '8' to each side of the equation. -8 + 8 + 5n = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = 2 + 8 5n = 2 + 8 Combine like terms: 2 + 8 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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