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Simplifying 6(3n + 2) = 7(6n + 2) + 3 Reorder the terms: 6(2 + 3n) = 7(6n + 2) + 3 (2 * 6 + 3n * 6) = 7(6n + 2) + 3 (12 + 18n) = 7(6n + 2) + 3 Reorder the terms: 12 + 18n = 7(2 + 6n) + 3 12 + 18n = (2 * 7 + 6n * 7) + 3 12 + 18n = (14 + 42n) + 3 Reorder the terms: 12 + 18n = 14 + 3 + 42n Combine like terms: 14 + 3 = 17 12 + 18n = 17 + 42n Solving 12 + 18n = 17 + 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. 12 + 18n + -42n = 17 + 42n + -42n Combine like terms: 18n + -42n = -24n 12 + -24n = 17 + 42n + -42n Combine like terms: 42n + -42n = 0 12 + -24n = 17 + 0 12 + -24n = 17 Add '-12' to each side of the equation. 12 + -12 + -24n = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -24n = 17 + -12 -24n = 17 + -12 Combine like terms: 17 + -12 = 5 -24n = 5 Divide each side by '-24'. n = -0.2083333333 Simplifying n = -0.2083333333
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