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Simplifying 3(6n + 4) = 7n(8 + 9) Reorder the terms: 3(4 + 6n) = 7n(8 + 9) (4 * 3 + 6n * 3) = 7n(8 + 9) (12 + 18n) = 7n(8 + 9) Combine like terms: 8 + 9 = 17 12 + 18n = 7n(17) Reorder the terms for easier multiplication: 12 + 18n = 7 * 17n Multiply 7 * 17 12 + 18n = 119n Solving 12 + 18n = 119n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-119n' to each side of the equation. 12 + 18n + -119n = 119n + -119n Combine like terms: 18n + -119n = -101n 12 + -101n = 119n + -119n Combine like terms: 119n + -119n = 0 12 + -101n = 0 Add '-12' to each side of the equation. 12 + -12 + -101n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -101n = 0 + -12 -101n = 0 + -12 Combine like terms: 0 + -12 = -12 -101n = -12 Divide each side by '-101'. n = 0.1188118812 Simplifying n = 0.1188118812
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