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Simplifying 7(3n + 3) = 7(6n + 1) + -3 Reorder the terms: 7(3 + 3n) = 7(6n + 1) + -3 (3 * 7 + 3n * 7) = 7(6n + 1) + -3 (21 + 21n) = 7(6n + 1) + -3 Reorder the terms: 21 + 21n = 7(1 + 6n) + -3 21 + 21n = (1 * 7 + 6n * 7) + -3 21 + 21n = (7 + 42n) + -3 Reorder the terms: 21 + 21n = 7 + -3 + 42n Combine like terms: 7 + -3 = 4 21 + 21n = 4 + 42n Solving 21 + 21n = 4 + 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 = 4 + 42n + -42n Combine like terms: 21n + -42n = -21n 21 + -21n = 4 + 42n + -42n Combine like terms: 42n + -42n = 0 21 + -21n = 4 + 0 21 + -21n = 4 Add '-21' to each side of the equation. 21 + -21 + -21n = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -21n = 4 + -21 -21n = 4 + -21 Combine like terms: 4 + -21 = -17 -21n = -17 Divide each side by '-21'. n = 0.8095238095 Simplifying n = 0.8095238095
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