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Simplifying 6n + 19 = 14n + -69 Reorder the terms: 19 + 6n = 14n + -69 Reorder the terms: 19 + 6n = -69 + 14n Solving 19 + 6n = -69 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 19 + 6n + -14n = -69 + 14n + -14n Combine like terms: 6n + -14n = -8n 19 + -8n = -69 + 14n + -14n Combine like terms: 14n + -14n = 0 19 + -8n = -69 + 0 19 + -8n = -69 Add '-19' to each side of the equation. 19 + -19 + -8n = -69 + -19 Combine like terms: 19 + -19 = 0 0 + -8n = -69 + -19 -8n = -69 + -19 Combine like terms: -69 + -19 = -88 -8n = -88 Divide each side by '-8'. n = 11 Simplifying n = 11
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