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Simplifying 7(2n + 1) = 6(7n + 3) + 7 Reorder the terms: 7(1 + 2n) = 6(7n + 3) + 7 (1 * 7 + 2n * 7) = 6(7n + 3) + 7 (7 + 14n) = 6(7n + 3) + 7 Reorder the terms: 7 + 14n = 6(3 + 7n) + 7 7 + 14n = (3 * 6 + 7n * 6) + 7 7 + 14n = (18 + 42n) + 7 Reorder the terms: 7 + 14n = 18 + 7 + 42n Combine like terms: 18 + 7 = 25 7 + 14n = 25 + 42n Solving 7 + 14n = 25 + 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. 7 + 14n + -42n = 25 + 42n + -42n Combine like terms: 14n + -42n = -28n 7 + -28n = 25 + 42n + -42n Combine like terms: 42n + -42n = 0 7 + -28n = 25 + 0 7 + -28n = 25 Add '-7' to each side of the equation. 7 + -7 + -28n = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -28n = 25 + -7 -28n = 25 + -7 Combine like terms: 25 + -7 = 18 -28n = 18 Divide each side by '-28'. n = -0.6428571429 Simplifying n = -0.6428571429
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