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Simplifying 3n + -8 = 10 + (4n + -8n) Reorder the terms: -8 + 3n = 10 + (4n + -8n) Combine like terms: 4n + -8n = -4n -8 + 3n = 10 + (-4n) -8 + 3n = 10 + (-4n) Solving -8 + 3n = 10 + (-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 + 3n + (4n) = 10 + (-4n) + (4n) Combine like terms: 3n + (4n) = 7n -8 + 7n = 10 + (-4n) + (4n) Combine like terms: (-4n) + (4n) = 0 -8 + 7n = 10 + 0 -8 + 7n = 10 Add '8' to each side of the equation. -8 + 8 + 7n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 7n = 10 + 8 7n = 10 + 8 Combine like terms: 10 + 8 = 18 7n = 18 Divide each side by '7'. n = 2.571428571 Simplifying n = 2.571428571
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