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Simplifying (8n + 6) + 8 = 7(3n + -2) Reorder the terms: (6 + 8n) + 8 = 7(3n + -2) Remove parenthesis around (6 + 8n) 6 + 8n + 8 = 7(3n + -2) Reorder the terms: 6 + 8 + 8n = 7(3n + -2) Combine like terms: 6 + 8 = 14 14 + 8n = 7(3n + -2) Reorder the terms: 14 + 8n = 7(-2 + 3n) 14 + 8n = (-2 * 7 + 3n * 7) 14 + 8n = (-14 + 21n) Solving 14 + 8n = -14 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 14 + 8n + -21n = -14 + 21n + -21n Combine like terms: 8n + -21n = -13n 14 + -13n = -14 + 21n + -21n Combine like terms: 21n + -21n = 0 14 + -13n = -14 + 0 14 + -13n = -14 Add '-14' to each side of the equation. 14 + -14 + -13n = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -13n = -14 + -14 -13n = -14 + -14 Combine like terms: -14 + -14 = -28 -13n = -28 Divide each side by '-13'. n = 2.153846154 Simplifying n = 2.153846154
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