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Simplifying 9(2n + 3) = 6(7n + 4) + 6 Reorder the terms: 9(3 + 2n) = 6(7n + 4) + 6 (3 * 9 + 2n * 9) = 6(7n + 4) + 6 (27 + 18n) = 6(7n + 4) + 6 Reorder the terms: 27 + 18n = 6(4 + 7n) + 6 27 + 18n = (4 * 6 + 7n * 6) + 6 27 + 18n = (24 + 42n) + 6 Reorder the terms: 27 + 18n = 24 + 6 + 42n Combine like terms: 24 + 6 = 30 27 + 18n = 30 + 42n Solving 27 + 18n = 30 + 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. 27 + 18n + -42n = 30 + 42n + -42n Combine like terms: 18n + -42n = -24n 27 + -24n = 30 + 42n + -42n Combine like terms: 42n + -42n = 0 27 + -24n = 30 + 0 27 + -24n = 30 Add '-27' to each side of the equation. 27 + -27 + -24n = 30 + -27 Combine like terms: 27 + -27 = 0 0 + -24n = 30 + -27 -24n = 30 + -27 Combine like terms: 30 + -27 = 3 -24n = 3 Divide each side by '-24'. n = -0.125 Simplifying n = -0.125
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