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Simplifying 7(2n + 5) = 8(6n + 1) + 6 Reorder the terms: 7(5 + 2n) = 8(6n + 1) + 6 (5 * 7 + 2n * 7) = 8(6n + 1) + 6 (35 + 14n) = 8(6n + 1) + 6 Reorder the terms: 35 + 14n = 8(1 + 6n) + 6 35 + 14n = (1 * 8 + 6n * 8) + 6 35 + 14n = (8 + 48n) + 6 Reorder the terms: 35 + 14n = 8 + 6 + 48n Combine like terms: 8 + 6 = 14 35 + 14n = 14 + 48n Solving 35 + 14n = 14 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 35 + 14n + -48n = 14 + 48n + -48n Combine like terms: 14n + -48n = -34n 35 + -34n = 14 + 48n + -48n Combine like terms: 48n + -48n = 0 35 + -34n = 14 + 0 35 + -34n = 14 Add '-35' to each side of the equation. 35 + -35 + -34n = 14 + -35 Combine like terms: 35 + -35 = 0 0 + -34n = 14 + -35 -34n = 14 + -35 Combine like terms: 14 + -35 = -21 -34n = -21 Divide each side by '-34'. n = 0.6176470588 Simplifying n = 0.6176470588
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