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Simplifying -7 + 4n + 8n + 14 = 4n + 7n Reorder the terms: -7 + 14 + 4n + 8n = 4n + 7n Combine like terms: -7 + 14 = 7 7 + 4n + 8n = 4n + 7n Combine like terms: 4n + 8n = 12n 7 + 12n = 4n + 7n Combine like terms: 4n + 7n = 11n 7 + 12n = 11n Solving 7 + 12n = 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. 7 + 12n + -11n = 11n + -11n Combine like terms: 12n + -11n = 1n 7 + 1n = 11n + -11n Combine like terms: 11n + -11n = 0 7 + 1n = 0 Add '-7' to each side of the equation. 7 + -7 + 1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 0 + -7 1n = 0 + -7 Combine like terms: 0 + -7 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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