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Simplifying 3(2n + 4) = 6(7n + 9) + 7 Reorder the terms: 3(4 + 2n) = 6(7n + 9) + 7 (4 * 3 + 2n * 3) = 6(7n + 9) + 7 (12 + 6n) = 6(7n + 9) + 7 Reorder the terms: 12 + 6n = 6(9 + 7n) + 7 12 + 6n = (9 * 6 + 7n * 6) + 7 12 + 6n = (54 + 42n) + 7 Reorder the terms: 12 + 6n = 54 + 7 + 42n Combine like terms: 54 + 7 = 61 12 + 6n = 61 + 42n Solving 12 + 6n = 61 + 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. 12 + 6n + -42n = 61 + 42n + -42n Combine like terms: 6n + -42n = -36n 12 + -36n = 61 + 42n + -42n Combine like terms: 42n + -42n = 0 12 + -36n = 61 + 0 12 + -36n = 61 Add '-12' to each side of the equation. 12 + -12 + -36n = 61 + -12 Combine like terms: 12 + -12 = 0 0 + -36n = 61 + -12 -36n = 61 + -12 Combine like terms: 61 + -12 = 49 -36n = 49 Divide each side by '-36'. n = -1.361111111 Simplifying n = -1.361111111
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