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Simplifying 7(1 + n) + 3(2 + -8n) = 0 (1 * 7 + n * 7) + 3(2 + -8n) = 0 (7 + 7n) + 3(2 + -8n) = 0 7 + 7n + (2 * 3 + -8n * 3) = 0 7 + 7n + (6 + -24n) = 0 Reorder the terms: 7 + 6 + 7n + -24n = 0 Combine like terms: 7 + 6 = 13 13 + 7n + -24n = 0 Combine like terms: 7n + -24n = -17n 13 + -17n = 0 Solving 13 + -17n = 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 + -17n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -17n = 0 + -13 -17n = 0 + -13 Combine like terms: 0 + -13 = -13 -17n = -13 Divide each side by '-17'. n = 0.7647058824 Simplifying n = 0.7647058824
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