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Simplifying 2(2n + 4) = 6(7n + 8) + 8 Reorder the terms: 2(4 + 2n) = 6(7n + 8) + 8 (4 * 2 + 2n * 2) = 6(7n + 8) + 8 (8 + 4n) = 6(7n + 8) + 8 Reorder the terms: 8 + 4n = 6(8 + 7n) + 8 8 + 4n = (8 * 6 + 7n * 6) + 8 8 + 4n = (48 + 42n) + 8 Reorder the terms: 8 + 4n = 48 + 8 + 42n Combine like terms: 48 + 8 = 56 8 + 4n = 56 + 42n Solving 8 + 4n = 56 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 8 + 4n + -42n = 56 + 42n + -42n Combine like terms: 4n + -42n = -38n 8 + -38n = 56 + 42n + -42n Combine like terms: 42n + -42n = 0 8 + -38n = 56 + 0 8 + -38n = 56 Add '-8' to each side of the equation. 8 + -8 + -38n = 56 + -8 Combine like terms: 8 + -8 = 0 0 + -38n = 56 + -8 -38n = 56 + -8 Combine like terms: 56 + -8 = 48 -38n = 48 Divide each side by '-38'. n = -1.263157895 Simplifying n = -1.263157895
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