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Simplifying 2cos(2a + -60) + 1 = 0 Reorder the terms: 2cos(-60 + 2a) + 1 = 0 (-60 * 2cos + 2a * 2cos) + 1 = 0 Reorder the terms: (4acos + -120cos) + 1 = 0 (4acos + -120cos) + 1 = 0 Reorder the terms: 1 + 4acos + -120cos = 0 Solving 1 + 4acos + -120cos = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4acos + -1 + -120cos = 0 + -1 Reorder the terms: 1 + -1 + 4acos + -120cos = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4acos + -120cos = 0 + -1 4acos + -120cos = 0 + -1 Combine like terms: 0 + -1 = -1 4acos + -120cos = -1 Add '120cos' to each side of the equation. 4acos + -120cos + 120cos = -1 + 120cos Combine like terms: -120cos + 120cos = 0 4acos + 0 = -1 + 120cos 4acos = -1 + 120cos Divide each side by '4cos'. a = -0.25c-1o-1s-1 + 30 Simplifying a = -0.25c-1o-1s-1 + 30 Reorder the terms: a = 30 + -0.25c-1o-1s-1
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