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Simplifying 5(1 + tan2x) + 3(tan2x) = 9 (1 * 5 + an2tx * 5) + 3(tan2x) = 9 (5 + 5an2tx) + 3(tan2x) = 9 Combine like terms: 5an2tx + 3an2tx = 8an2tx 5 + 8an2tx = 9 Solving 5 + 8an2tx = 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 + 8an2tx = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 8an2tx = 9 + -5 8an2tx = 9 + -5 Combine like terms: 9 + -5 = 4 8an2tx = 4 Divide each side by '8n2tx'. a = 0.5n-2t-1x-1 Simplifying a = 0.5n-2t-1x-1
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