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Simplifying 6(3n + 2) = 6(6n + 9) * 1 Reorder the terms: 6(2 + 3n) = 6(6n + 9) * 1 (2 * 6 + 3n * 6) = 6(6n + 9) * 1 (12 + 18n) = 6(6n + 9) * 1 Reorder the terms: 12 + 18n = 6(9 + 6n) * 1 Reorder the terms for easier multiplication: 12 + 18n = 6 * 1(9 + 6n) Multiply 6 * 1 12 + 18n = 6(9 + 6n) 12 + 18n = (9 * 6 + 6n * 6) 12 + 18n = (54 + 36n) Solving 12 + 18n = 54 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 12 + 18n + -36n = 54 + 36n + -36n Combine like terms: 18n + -36n = -18n 12 + -18n = 54 + 36n + -36n Combine like terms: 36n + -36n = 0 12 + -18n = 54 + 0 12 + -18n = 54 Add '-12' to each side of the equation. 12 + -12 + -18n = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -18n = 54 + -12 -18n = 54 + -12 Combine like terms: 54 + -12 = 42 -18n = 42 Divide each side by '-18'. n = -2.333333333 Simplifying n = -2.333333333
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