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Simplifying 8(3n + 3) = 6(7n + 4) + 6 Reorder the terms: 8(3 + 3n) = 6(7n + 4) + 6 (3 * 8 + 3n * 8) = 6(7n + 4) + 6 (24 + 24n) = 6(7n + 4) + 6 Reorder the terms: 24 + 24n = 6(4 + 7n) + 6 24 + 24n = (4 * 6 + 7n * 6) + 6 24 + 24n = (24 + 42n) + 6 Reorder the terms: 24 + 24n = 24 + 6 + 42n Combine like terms: 24 + 6 = 30 24 + 24n = 30 + 42n Solving 24 + 24n = 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. 24 + 24n + -42n = 30 + 42n + -42n Combine like terms: 24n + -42n = -18n 24 + -18n = 30 + 42n + -42n Combine like terms: 42n + -42n = 0 24 + -18n = 30 + 0 24 + -18n = 30 Add '-24' to each side of the equation. 24 + -24 + -18n = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -18n = 30 + -24 -18n = 30 + -24 Combine like terms: 30 + -24 = 6 -18n = 6 Divide each side by '-18'. n = -0.3333333333 Simplifying n = -0.3333333333
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