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Simplifying 6(3n + 3) = 6(7n + 7) + 6 Reorder the terms: 6(3 + 3n) = 6(7n + 7) + 6 (3 * 6 + 3n * 6) = 6(7n + 7) + 6 (18 + 18n) = 6(7n + 7) + 6 Reorder the terms: 18 + 18n = 6(7 + 7n) + 6 18 + 18n = (7 * 6 + 7n * 6) + 6 18 + 18n = (42 + 42n) + 6 Reorder the terms: 18 + 18n = 42 + 6 + 42n Combine like terms: 42 + 6 = 48 18 + 18n = 48 + 42n Solving 18 + 18n = 48 + 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. 18 + 18n + -42n = 48 + 42n + -42n Combine like terms: 18n + -42n = -24n 18 + -24n = 48 + 42n + -42n Combine like terms: 42n + -42n = 0 18 + -24n = 48 + 0 18 + -24n = 48 Add '-18' to each side of the equation. 18 + -18 + -24n = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -24n = 48 + -18 -24n = 48 + -18 Combine like terms: 48 + -18 = 30 -24n = 30 Divide each side by '-24'. n = -1.25 Simplifying n = -1.25
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