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Simplifying 8(3n + 3) = 6(7n + 1) + 3 Reorder the terms: 8(3 + 3n) = 6(7n + 1) + 3 (3 * 8 + 3n * 8) = 6(7n + 1) + 3 (24 + 24n) = 6(7n + 1) + 3 Reorder the terms: 24 + 24n = 6(1 + 7n) + 3 24 + 24n = (1 * 6 + 7n * 6) + 3 24 + 24n = (6 + 42n) + 3 Reorder the terms: 24 + 24n = 6 + 3 + 42n Combine like terms: 6 + 3 = 9 24 + 24n = 9 + 42n Solving 24 + 24n = 9 + 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 = 9 + 42n + -42n Combine like terms: 24n + -42n = -18n 24 + -18n = 9 + 42n + -42n Combine like terms: 42n + -42n = 0 24 + -18n = 9 + 0 24 + -18n = 9 Add '-24' to each side of the equation. 24 + -24 + -18n = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -18n = 9 + -24 -18n = 9 + -24 Combine like terms: 9 + -24 = -15 -18n = -15 Divide each side by '-18'. n = 0.8333333333 Simplifying n = 0.8333333333
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