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Simplifying 7(2n + 5) = 6(5n + 2) + 4 Reorder the terms: 7(5 + 2n) = 6(5n + 2) + 4 (5 * 7 + 2n * 7) = 6(5n + 2) + 4 (35 + 14n) = 6(5n + 2) + 4 Reorder the terms: 35 + 14n = 6(2 + 5n) + 4 35 + 14n = (2 * 6 + 5n * 6) + 4 35 + 14n = (12 + 30n) + 4 Reorder the terms: 35 + 14n = 12 + 4 + 30n Combine like terms: 12 + 4 = 16 35 + 14n = 16 + 30n Solving 35 + 14n = 16 + 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. 35 + 14n + -30n = 16 + 30n + -30n Combine like terms: 14n + -30n = -16n 35 + -16n = 16 + 30n + -30n Combine like terms: 30n + -30n = 0 35 + -16n = 16 + 0 35 + -16n = 16 Add '-35' to each side of the equation. 35 + -35 + -16n = 16 + -35 Combine like terms: 35 + -35 = 0 0 + -16n = 16 + -35 -16n = 16 + -35 Combine like terms: 16 + -35 = -19 -16n = -19 Divide each side by '-16'. n = 1.1875 Simplifying n = 1.1875
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