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Simplifying 7(2n + 2) = 6(7n + 7) + 3 Reorder the terms: 7(2 + 2n) = 6(7n + 7) + 3 (2 * 7 + 2n * 7) = 6(7n + 7) + 3 (14 + 14n) = 6(7n + 7) + 3 Reorder the terms: 14 + 14n = 6(7 + 7n) + 3 14 + 14n = (7 * 6 + 7n * 6) + 3 14 + 14n = (42 + 42n) + 3 Reorder the terms: 14 + 14n = 42 + 3 + 42n Combine like terms: 42 + 3 = 45 14 + 14n = 45 + 42n Solving 14 + 14n = 45 + 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. 14 + 14n + -42n = 45 + 42n + -42n Combine like terms: 14n + -42n = -28n 14 + -28n = 45 + 42n + -42n Combine like terms: 42n + -42n = 0 14 + -28n = 45 + 0 14 + -28n = 45 Add '-14' to each side of the equation. 14 + -14 + -28n = 45 + -14 Combine like terms: 14 + -14 = 0 0 + -28n = 45 + -14 -28n = 45 + -14 Combine like terms: 45 + -14 = 31 -28n = 31 Divide each side by '-28'. n = -1.107142857 Simplifying n = -1.107142857
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