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Simplifying 2(2n + 2) = 7(6n + 7) + 7 Reorder the terms: 2(2 + 2n) = 7(6n + 7) + 7 (2 * 2 + 2n * 2) = 7(6n + 7) + 7 (4 + 4n) = 7(6n + 7) + 7 Reorder the terms: 4 + 4n = 7(7 + 6n) + 7 4 + 4n = (7 * 7 + 6n * 7) + 7 4 + 4n = (49 + 42n) + 7 Reorder the terms: 4 + 4n = 49 + 7 + 42n Combine like terms: 49 + 7 = 56 4 + 4n = 56 + 42n Solving 4 + 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. 4 + 4n + -42n = 56 + 42n + -42n Combine like terms: 4n + -42n = -38n 4 + -38n = 56 + 42n + -42n Combine like terms: 42n + -42n = 0 4 + -38n = 56 + 0 4 + -38n = 56 Add '-4' to each side of the equation. 4 + -4 + -38n = 56 + -4 Combine like terms: 4 + -4 = 0 0 + -38n = 56 + -4 -38n = 56 + -4 Combine like terms: 56 + -4 = 52 -38n = 52 Divide each side by '-38'. n = -1.368421053 Simplifying n = -1.368421053
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