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