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Simplifying 6(3n + 4) = 6(7n + 6) + 3 Reorder the terms: 6(4 + 3n) = 6(7n + 6) + 3 (4 * 6 + 3n * 6) = 6(7n + 6) + 3 (24 + 18n) = 6(7n + 6) + 3 Reorder the terms: 24 + 18n = 6(6 + 7n) + 3 24 + 18n = (6 * 6 + 7n * 6) + 3 24 + 18n = (36 + 42n) + 3 Reorder the terms: 24 + 18n = 36 + 3 + 42n Combine like terms: 36 + 3 = 39 24 + 18n = 39 + 42n Solving 24 + 18n = 39 + 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. 24 + 18n + -42n = 39 + 42n + -42n Combine like terms: 18n + -42n = -24n 24 + -24n = 39 + 42n + -42n Combine like terms: 42n + -42n = 0 24 + -24n = 39 + 0 24 + -24n = 39 Add '-24' to each side of the equation. 24 + -24 + -24n = 39 + -24 Combine like terms: 24 + -24 = 0 0 + -24n = 39 + -24 -24n = 39 + -24 Combine like terms: 39 + -24 = 15 -24n = 15 Divide each side by '-24'. n = -0.625 Simplifying n = -0.625
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