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Simplifying 8(2n + 4) = 6(5n + 6) + 8 Reorder the terms: 8(4 + 2n) = 6(5n + 6) + 8 (4 * 8 + 2n * 8) = 6(5n + 6) + 8 (32 + 16n) = 6(5n + 6) + 8 Reorder the terms: 32 + 16n = 6(6 + 5n) + 8 32 + 16n = (6 * 6 + 5n * 6) + 8 32 + 16n = (36 + 30n) + 8 Reorder the terms: 32 + 16n = 36 + 8 + 30n Combine like terms: 36 + 8 = 44 32 + 16n = 44 + 30n Solving 32 + 16n = 44 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 32 + 16n + -30n = 44 + 30n + -30n Combine like terms: 16n + -30n = -14n 32 + -14n = 44 + 30n + -30n Combine like terms: 30n + -30n = 0 32 + -14n = 44 + 0 32 + -14n = 44 Add '-32' to each side of the equation. 32 + -32 + -14n = 44 + -32 Combine like terms: 32 + -32 = 0 0 + -14n = 44 + -32 -14n = 44 + -32 Combine like terms: 44 + -32 = 12 -14n = 12 Divide each side by '-14'. n = -0.8571428571 Simplifying n = -0.8571428571
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