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Simplifying 3(3n + 3) = 6(7n + 1) + 3 Reorder the terms: 3(3 + 3n) = 6(7n + 1) + 3 (3 * 3 + 3n * 3) = 6(7n + 1) + 3 (9 + 9n) = 6(7n + 1) + 3 Reorder the terms: 9 + 9n = 6(1 + 7n) + 3 9 + 9n = (1 * 6 + 7n * 6) + 3 9 + 9n = (6 + 42n) + 3 Reorder the terms: 9 + 9n = 6 + 3 + 42n Combine like terms: 6 + 3 = 9 9 + 9n = 9 + 42n Add '-9' to each side of the equation. 9 + -9 + 9n = 9 + -9 + 42n Combine like terms: 9 + -9 = 0 0 + 9n = 9 + -9 + 42n 9n = 9 + -9 + 42n Combine like terms: 9 + -9 = 0 9n = 0 + 42n 9n = 42n Solving 9n = 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. 9n + -42n = 42n + -42n Combine like terms: 9n + -42n = -33n -33n = 42n + -42n Combine like terms: 42n + -42n = 0 -33n = 0 Divide each side by '-33'. n = 0 Simplifying n = 0
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