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Simplifying 12 + 2n(2 * 9) = 4 + 6n(3 * 6) Multiply 2 * 9 12 + 2n(18) = 4 + 6n(3 * 6) Reorder the terms for easier multiplication: 12 + 2 * 18n = 4 + 6n(3 * 6) Multiply 2 * 18 12 + 36n = 4 + 6n(3 * 6) Multiply 3 * 6 12 + 36n = 4 + 6n(18) Reorder the terms for easier multiplication: 12 + 36n = 4 + 6 * 18n Multiply 6 * 18 12 + 36n = 4 + 108n Solving 12 + 36n = 4 + 108n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-108n' to each side of the equation. 12 + 36n + -108n = 4 + 108n + -108n Combine like terms: 36n + -108n = -72n 12 + -72n = 4 + 108n + -108n Combine like terms: 108n + -108n = 0 12 + -72n = 4 + 0 12 + -72n = 4 Add '-12' to each side of the equation. 12 + -12 + -72n = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -72n = 4 + -12 -72n = 4 + -12 Combine like terms: 4 + -12 = -8 -72n = -8 Divide each side by '-72'. n = 0.1111111111 Simplifying n = 0.1111111111
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