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Simplifying 5(1 + tan(2x)) + 3(tan(2x)) = 9 Remove parenthesis around (2x) 5(1 + ant * 2x) + 3(tan(2x)) = 9 Reorder the terms for easier multiplication: 5(1 + 2ant * x) + 3(tan(2x)) = 9 Multiply ant * x 5(1 + 2antx) + 3(tan(2x)) = 9 (1 * 5 + 2antx * 5) + 3(tan(2x)) = 9 (5 + 10antx) + 3(tan(2x)) = 9 Remove parenthesis around (2x) 5 + 10antx + 3(ant * 2x) = 9 Reorder the terms for easier multiplication: 5 + 10antx + 3(2ant * x) = 9 Multiply ant * x 5 + 10antx + 3(2antx) = 9 Remove parenthesis around (2antx) 5 + 10antx + 3 * 2antx = 9 Multiply 3 * 2 5 + 10antx + 6antx = 9 Combine like terms: 10antx + 6antx = 16antx 5 + 16antx = 9 Solving 5 + 16antx = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 16antx = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 16antx = 9 + -5 16antx = 9 + -5 Combine like terms: 9 + -5 = 4 16antx = 4 Divide each side by '16ntx'. a = 0.25n-1t-1x-1 Simplifying a = 0.25n-1t-1x-1
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