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Simplifying 3(2n + 3) = 7(6n + 9) + 3 Reorder the terms: 3(3 + 2n) = 7(6n + 9) + 3 (3 * 3 + 2n * 3) = 7(6n + 9) + 3 (9 + 6n) = 7(6n + 9) + 3 Reorder the terms: 9 + 6n = 7(9 + 6n) + 3 9 + 6n = (9 * 7 + 6n * 7) + 3 9 + 6n = (63 + 42n) + 3 Reorder the terms: 9 + 6n = 63 + 3 + 42n Combine like terms: 63 + 3 = 66 9 + 6n = 66 + 42n Solving 9 + 6n = 66 + 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. 9 + 6n + -42n = 66 + 42n + -42n Combine like terms: 6n + -42n = -36n 9 + -36n = 66 + 42n + -42n Combine like terms: 42n + -42n = 0 9 + -36n = 66 + 0 9 + -36n = 66 Add '-9' to each side of the equation. 9 + -9 + -36n = 66 + -9 Combine like terms: 9 + -9 = 0 0 + -36n = 66 + -9 -36n = 66 + -9 Combine like terms: 66 + -9 = 57 -36n = 57 Divide each side by '-36'. n = -1.583333333 Simplifying n = -1.583333333
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