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Simplifying 4(3n + 2) = 8(6n + 7) + 8 Reorder the terms: 4(2 + 3n) = 8(6n + 7) + 8 (2 * 4 + 3n * 4) = 8(6n + 7) + 8 (8 + 12n) = 8(6n + 7) + 8 Reorder the terms: 8 + 12n = 8(7 + 6n) + 8 8 + 12n = (7 * 8 + 6n * 8) + 8 8 + 12n = (56 + 48n) + 8 Reorder the terms: 8 + 12n = 56 + 8 + 48n Combine like terms: 56 + 8 = 64 8 + 12n = 64 + 48n Solving 8 + 12n = 64 + 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. 8 + 12n + -48n = 64 + 48n + -48n Combine like terms: 12n + -48n = -36n 8 + -36n = 64 + 48n + -48n Combine like terms: 48n + -48n = 0 8 + -36n = 64 + 0 8 + -36n = 64 Add '-8' to each side of the equation. 8 + -8 + -36n = 64 + -8 Combine like terms: 8 + -8 = 0 0 + -36n = 64 + -8 -36n = 64 + -8 Combine like terms: 64 + -8 = 56 -36n = 56 Divide each side by '-36'. n = -1.555555556 Simplifying n = -1.555555556
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