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Simplifying 7(3n + 4) = 7(6n + 1) + 2 Reorder the terms: 7(4 + 3n) = 7(6n + 1) + 2 (4 * 7 + 3n * 7) = 7(6n + 1) + 2 (28 + 21n) = 7(6n + 1) + 2 Reorder the terms: 28 + 21n = 7(1 + 6n) + 2 28 + 21n = (1 * 7 + 6n * 7) + 2 28 + 21n = (7 + 42n) + 2 Reorder the terms: 28 + 21n = 7 + 2 + 42n Combine like terms: 7 + 2 = 9 28 + 21n = 9 + 42n Solving 28 + 21n = 9 + 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. 28 + 21n + -42n = 9 + 42n + -42n Combine like terms: 21n + -42n = -21n 28 + -21n = 9 + 42n + -42n Combine like terms: 42n + -42n = 0 28 + -21n = 9 + 0 28 + -21n = 9 Add '-28' to each side of the equation. 28 + -28 + -21n = 9 + -28 Combine like terms: 28 + -28 = 0 0 + -21n = 9 + -28 -21n = 9 + -28 Combine like terms: 9 + -28 = -19 -21n = -19 Divide each side by '-21'. n = 0.9047619048 Simplifying n = 0.9047619048
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