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Simplifying 4n + -8 = 10 + -5n Reorder the terms: -8 + 4n = 10 + -5n Solving -8 + 4n = 10 + -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 + 4n + 5n = 10 + -5n + 5n Combine like terms: 4n + 5n = 9n -8 + 9n = 10 + -5n + 5n Combine like terms: -5n + 5n = 0 -8 + 9n = 10 + 0 -8 + 9n = 10 Add '8' to each side of the equation. -8 + 8 + 9n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 9n = 10 + 8 9n = 10 + 8 Combine like terms: 10 + 8 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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