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Simplifying 4n + -2 = 8n + 5 Reorder the terms: -2 + 4n = 8n + 5 Reorder the terms: -2 + 4n = 5 + 8n Solving -2 + 4n = 5 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -2 + 4n + -8n = 5 + 8n + -8n Combine like terms: 4n + -8n = -4n -2 + -4n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 -2 + -4n = 5 + 0 -2 + -4n = 5 Add '2' to each side of the equation. -2 + 2 + -4n = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -4n = 5 + 2 -4n = 5 + 2 Combine like terms: 5 + 2 = 7 -4n = 7 Divide each side by '-4'. n = -1.75 Simplifying n = -1.75
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