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Simplifying 6(3n + 2) = 9(9n + 4) + 1 Reorder the terms: 6(2 + 3n) = 9(9n + 4) + 1 (2 * 6 + 3n * 6) = 9(9n + 4) + 1 (12 + 18n) = 9(9n + 4) + 1 Reorder the terms: 12 + 18n = 9(4 + 9n) + 1 12 + 18n = (4 * 9 + 9n * 9) + 1 12 + 18n = (36 + 81n) + 1 Reorder the terms: 12 + 18n = 36 + 1 + 81n Combine like terms: 36 + 1 = 37 12 + 18n = 37 + 81n Solving 12 + 18n = 37 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 12 + 18n + -81n = 37 + 81n + -81n Combine like terms: 18n + -81n = -63n 12 + -63n = 37 + 81n + -81n Combine like terms: 81n + -81n = 0 12 + -63n = 37 + 0 12 + -63n = 37 Add '-12' to each side of the equation. 12 + -12 + -63n = 37 + -12 Combine like terms: 12 + -12 = 0 0 + -63n = 37 + -12 -63n = 37 + -12 Combine like terms: 37 + -12 = 25 -63n = 25 Divide each side by '-63'. n = -0.3968253968 Simplifying n = -0.3968253968
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