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Simplifying 3n + 130 = 11n + -14 Reorder the terms: 130 + 3n = 11n + -14 Reorder the terms: 130 + 3n = -14 + 11n Solving 130 + 3n = -14 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 130 + 3n + -11n = -14 + 11n + -11n Combine like terms: 3n + -11n = -8n 130 + -8n = -14 + 11n + -11n Combine like terms: 11n + -11n = 0 130 + -8n = -14 + 0 130 + -8n = -14 Add '-130' to each side of the equation. 130 + -130 + -8n = -14 + -130 Combine like terms: 130 + -130 = 0 0 + -8n = -14 + -130 -8n = -14 + -130 Combine like terms: -14 + -130 = -144 -8n = -144 Divide each side by '-8'. n = 18 Simplifying n = 18
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