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Simplifying 2n + 100 = 8n + -14 Reorder the terms: 100 + 2n = 8n + -14 Reorder the terms: 100 + 2n = -14 + 8n Solving 100 + 2n = -14 + 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. 100 + 2n + -8n = -14 + 8n + -8n Combine like terms: 2n + -8n = -6n 100 + -6n = -14 + 8n + -8n Combine like terms: 8n + -8n = 0 100 + -6n = -14 + 0 100 + -6n = -14 Add '-100' to each side of the equation. 100 + -100 + -6n = -14 + -100 Combine like terms: 100 + -100 = 0 0 + -6n = -14 + -100 -6n = -14 + -100 Combine like terms: -14 + -100 = -114 -6n = -114 Divide each side by '-6'. n = 19 Simplifying n = 19
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