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Simplifying 7(2n + 4) = 6(5n + 7) + 3 Reorder the terms: 7(4 + 2n) = 6(5n + 7) + 3 (4 * 7 + 2n * 7) = 6(5n + 7) + 3 (28 + 14n) = 6(5n + 7) + 3 Reorder the terms: 28 + 14n = 6(7 + 5n) + 3 28 + 14n = (7 * 6 + 5n * 6) + 3 28 + 14n = (42 + 30n) + 3 Reorder the terms: 28 + 14n = 42 + 3 + 30n Combine like terms: 42 + 3 = 45 28 + 14n = 45 + 30n Solving 28 + 14n = 45 + 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. 28 + 14n + -30n = 45 + 30n + -30n Combine like terms: 14n + -30n = -16n 28 + -16n = 45 + 30n + -30n Combine like terms: 30n + -30n = 0 28 + -16n = 45 + 0 28 + -16n = 45 Add '-28' to each side of the equation. 28 + -28 + -16n = 45 + -28 Combine like terms: 28 + -28 = 0 0 + -16n = 45 + -28 -16n = 45 + -28 Combine like terms: 45 + -28 = 17 -16n = 17 Divide each side by '-16'. n = -1.0625 Simplifying n = -1.0625
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