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Simplifying 8n + 4 = 7n + 2(2n + -7) Reorder the terms: 4 + 8n = 7n + 2(2n + -7) Reorder the terms: 4 + 8n = 7n + 2(-7 + 2n) 4 + 8n = 7n + (-7 * 2 + 2n * 2) 4 + 8n = 7n + (-14 + 4n) Reorder the terms: 4 + 8n = -14 + 7n + 4n Combine like terms: 7n + 4n = 11n 4 + 8n = -14 + 11n Solving 4 + 8n = -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. 4 + 8n + -11n = -14 + 11n + -11n Combine like terms: 8n + -11n = -3n 4 + -3n = -14 + 11n + -11n Combine like terms: 11n + -11n = 0 4 + -3n = -14 + 0 4 + -3n = -14 Add '-4' to each side of the equation. 4 + -4 + -3n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = -14 + -4 -3n = -14 + -4 Combine like terms: -14 + -4 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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