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Simplifying 7 + 3(4n + 2) + -1n = 0 Reorder the terms: 7 + 3(2 + 4n) + -1n = 0 7 + (2 * 3 + 4n * 3) + -1n = 0 7 + (6 + 12n) + -1n = 0 Combine like terms: 7 + 6 = 13 13 + 12n + -1n = 0 Combine like terms: 12n + -1n = 11n 13 + 11n = 0 Solving 13 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 11n = 0 + -13 11n = 0 + -13 Combine like terms: 0 + -13 = -13 11n = -13 Divide each side by '11'. n = -1.181818182 Simplifying n = -1.181818182
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