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Simplifying 7(3n + 2) = 8(6n + 4) + 6 Reorder the terms: 7(2 + 3n) = 8(6n + 4) + 6 (2 * 7 + 3n * 7) = 8(6n + 4) + 6 (14 + 21n) = 8(6n + 4) + 6 Reorder the terms: 14 + 21n = 8(4 + 6n) + 6 14 + 21n = (4 * 8 + 6n * 8) + 6 14 + 21n = (32 + 48n) + 6 Reorder the terms: 14 + 21n = 32 + 6 + 48n Combine like terms: 32 + 6 = 38 14 + 21n = 38 + 48n Solving 14 + 21n = 38 + 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. 14 + 21n + -48n = 38 + 48n + -48n Combine like terms: 21n + -48n = -27n 14 + -27n = 38 + 48n + -48n Combine like terms: 48n + -48n = 0 14 + -27n = 38 + 0 14 + -27n = 38 Add '-14' to each side of the equation. 14 + -14 + -27n = 38 + -14 Combine like terms: 14 + -14 = 0 0 + -27n = 38 + -14 -27n = 38 + -14 Combine like terms: 38 + -14 = 24 -27n = 24 Divide each side by '-27'. n = -0.8888888889 Simplifying n = -0.8888888889
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