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Simplifying 8(2n + 2) = 6(5n + 6) + 4 Reorder the terms: 8(2 + 2n) = 6(5n + 6) + 4 (2 * 8 + 2n * 8) = 6(5n + 6) + 4 (16 + 16n) = 6(5n + 6) + 4 Reorder the terms: 16 + 16n = 6(6 + 5n) + 4 16 + 16n = (6 * 6 + 5n * 6) + 4 16 + 16n = (36 + 30n) + 4 Reorder the terms: 16 + 16n = 36 + 4 + 30n Combine like terms: 36 + 4 = 40 16 + 16n = 40 + 30n Solving 16 + 16n = 40 + 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. 16 + 16n + -30n = 40 + 30n + -30n Combine like terms: 16n + -30n = -14n 16 + -14n = 40 + 30n + -30n Combine like terms: 30n + -30n = 0 16 + -14n = 40 + 0 16 + -14n = 40 Add '-16' to each side of the equation. 16 + -16 + -14n = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -14n = 40 + -16 -14n = 40 + -16 Combine like terms: 40 + -16 = 24 -14n = 24 Divide each side by '-14'. n = -1.714285714 Simplifying n = -1.714285714
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