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Simplifying 7(3n + 1) = 7(9n + 9) + 4 Reorder the terms: 7(1 + 3n) = 7(9n + 9) + 4 (1 * 7 + 3n * 7) = 7(9n + 9) + 4 (7 + 21n) = 7(9n + 9) + 4 Reorder the terms: 7 + 21n = 7(9 + 9n) + 4 7 + 21n = (9 * 7 + 9n * 7) + 4 7 + 21n = (63 + 63n) + 4 Reorder the terms: 7 + 21n = 63 + 4 + 63n Combine like terms: 63 + 4 = 67 7 + 21n = 67 + 63n Solving 7 + 21n = 67 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 7 + 21n + -63n = 67 + 63n + -63n Combine like terms: 21n + -63n = -42n 7 + -42n = 67 + 63n + -63n Combine like terms: 63n + -63n = 0 7 + -42n = 67 + 0 7 + -42n = 67 Add '-7' to each side of the equation. 7 + -7 + -42n = 67 + -7 Combine like terms: 7 + -7 = 0 0 + -42n = 67 + -7 -42n = 67 + -7 Combine like terms: 67 + -7 = 60 -42n = 60 Divide each side by '-42'. n = -1.428571429 Simplifying n = -1.428571429
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