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Simplifying 7(2n + 5) = 6(9n + 4) + 8 Reorder the terms: 7(5 + 2n) = 6(9n + 4) + 8 (5 * 7 + 2n * 7) = 6(9n + 4) + 8 (35 + 14n) = 6(9n + 4) + 8 Reorder the terms: 35 + 14n = 6(4 + 9n) + 8 35 + 14n = (4 * 6 + 9n * 6) + 8 35 + 14n = (24 + 54n) + 8 Reorder the terms: 35 + 14n = 24 + 8 + 54n Combine like terms: 24 + 8 = 32 35 + 14n = 32 + 54n Solving 35 + 14n = 32 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 35 + 14n + -54n = 32 + 54n + -54n Combine like terms: 14n + -54n = -40n 35 + -40n = 32 + 54n + -54n Combine like terms: 54n + -54n = 0 35 + -40n = 32 + 0 35 + -40n = 32 Add '-35' to each side of the equation. 35 + -35 + -40n = 32 + -35 Combine like terms: 35 + -35 = 0 0 + -40n = 32 + -35 -40n = 32 + -35 Combine like terms: 32 + -35 = -3 -40n = -3 Divide each side by '-40'. n = 0.075 Simplifying n = 0.075
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