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Simplifying 4(2n + 2) = 7(3n + 1) + 7 Reorder the terms: 4(2 + 2n) = 7(3n + 1) + 7 (2 * 4 + 2n * 4) = 7(3n + 1) + 7 (8 + 8n) = 7(3n + 1) + 7 Reorder the terms: 8 + 8n = 7(1 + 3n) + 7 8 + 8n = (1 * 7 + 3n * 7) + 7 8 + 8n = (7 + 21n) + 7 Reorder the terms: 8 + 8n = 7 + 7 + 21n Combine like terms: 7 + 7 = 14 8 + 8n = 14 + 21n Solving 8 + 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. 8 + 8n + -21n = 14 + 21n + -21n Combine like terms: 8n + -21n = -13n 8 + -13n = 14 + 21n + -21n Combine like terms: 21n + -21n = 0 8 + -13n = 14 + 0 8 + -13n = 14 Add '-8' to each side of the equation. 8 + -8 + -13n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -13n = 14 + -8 -13n = 14 + -8 Combine like terms: 14 + -8 = 6 -13n = 6 Divide each side by '-13'. n = -0.4615384615 Simplifying n = -0.4615384615
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