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Simplifying 3(2n + 7) + -4n + 6 = 8n + 3 Reorder the terms: 3(7 + 2n) + -4n + 6 = 8n + 3 (7 * 3 + 2n * 3) + -4n + 6 = 8n + 3 (21 + 6n) + -4n + 6 = 8n + 3 Reorder the terms: 21 + 6 + 6n + -4n = 8n + 3 Combine like terms: 21 + 6 = 27 27 + 6n + -4n = 8n + 3 Combine like terms: 6n + -4n = 2n 27 + 2n = 8n + 3 Reorder the terms: 27 + 2n = 3 + 8n Solving 27 + 2n = 3 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 27 + 2n + -8n = 3 + 8n + -8n Combine like terms: 2n + -8n = -6n 27 + -6n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 27 + -6n = 3 + 0 27 + -6n = 3 Add '-27' to each side of the equation. 27 + -27 + -6n = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -6n = 3 + -27 -6n = 3 + -27 Combine like terms: 3 + -27 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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