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Simplifying 14 + -3n = 8n + -3(n + -3) Reorder the terms: 14 + -3n = 8n + -3(-3 + n) 14 + -3n = 8n + (-3 * -3 + n * -3) 14 + -3n = 8n + (9 + -3n) Reorder the terms: 14 + -3n = 9 + 8n + -3n Combine like terms: 8n + -3n = 5n 14 + -3n = 9 + 5n Solving 14 + -3n = 9 + 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. 14 + -3n + -5n = 9 + 5n + -5n Combine like terms: -3n + -5n = -8n 14 + -8n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + -8n = 9 + 0 14 + -8n = 9 Add '-14' to each side of the equation. 14 + -14 + -8n = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -8n = 9 + -14 -8n = 9 + -14 Combine like terms: 9 + -14 = -5 -8n = -5 Divide each side by '-8'. n = 0.625 Simplifying n = 0.625
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