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Simplifying 14 + 3n = 8n + -3(11 + -4) Combine like terms: 11 + -4 = 7 14 + 3n = 8n + -3(7) Multiply -3 * 7 14 + 3n = 8n + -21 Reorder the terms: 14 + 3n = -21 + 8n Solving 14 + 3n = -21 + 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 + 3n + -8n = -21 + 8n + -8n Combine like terms: 3n + -8n = -5n 14 + -5n = -21 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -5n = -21 + 0 14 + -5n = -21 Add '-14' to each side of the equation. 14 + -14 + -5n = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -5n = -21 + -14 -5n = -21 + -14 Combine like terms: -21 + -14 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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