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Simplifying 7(3n + 3) = 6(7n + 7) + 9 Reorder the terms: 7(3 + 3n) = 6(7n + 7) + 9 (3 * 7 + 3n * 7) = 6(7n + 7) + 9 (21 + 21n) = 6(7n + 7) + 9 Reorder the terms: 21 + 21n = 6(7 + 7n) + 9 21 + 21n = (7 * 6 + 7n * 6) + 9 21 + 21n = (42 + 42n) + 9 Reorder the terms: 21 + 21n = 42 + 9 + 42n Combine like terms: 42 + 9 = 51 21 + 21n = 51 + 42n Solving 21 + 21n = 51 + 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. 21 + 21n + -42n = 51 + 42n + -42n Combine like terms: 21n + -42n = -21n 21 + -21n = 51 + 42n + -42n Combine like terms: 42n + -42n = 0 21 + -21n = 51 + 0 21 + -21n = 51 Add '-21' to each side of the equation. 21 + -21 + -21n = 51 + -21 Combine like terms: 21 + -21 = 0 0 + -21n = 51 + -21 -21n = 51 + -21 Combine like terms: 51 + -21 = 30 -21n = 30 Divide each side by '-21'. n = -1.428571429 Simplifying n = -1.428571429
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