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Simplifying 14 + 3n = 8n + -3 + 10x Reorder the terms: 14 + 3n = -3 + 8n + 10x Solving 14 + 3n = -3 + 8n + 10x 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 + 3n + -8n = -3 + 8n + -8n + 10x Combine like terms: 3n + -8n = -5n 14 + -5n = -3 + 8n + -8n + 10x Combine like terms: 8n + -8n = 0 14 + -5n = -3 + 0 + 10x 14 + -5n = -3 + 10x Add '-14' to each side of the equation. 14 + -14 + -5n = -3 + -14 + 10x Combine like terms: 14 + -14 = 0 0 + -5n = -3 + -14 + 10x -5n = -3 + -14 + 10x Combine like terms: -3 + -14 = -17 -5n = -17 + 10x Divide each side by '-5'. n = 3.4 + -2x Simplifying n = 3.4 + -2x
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