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Simplifying 4n + 14 = 8n + -2 Reorder the terms: 14 + 4n = 8n + -2 Reorder the terms: 14 + 4n = -2 + 8n Solving 14 + 4n = -2 + 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. 14 + 4n + -8n = -2 + 8n + -8n Combine like terms: 4n + -8n = -4n 14 + -4n = -2 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -4n = -2 + 0 14 + -4n = -2 Add '-14' to each side of the equation. 14 + -14 + -4n = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = -2 + -14 -4n = -2 + -14 Combine like terms: -2 + -14 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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