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Simplifying 7cos(12t) + 6sin(12t) = 9 Remove parenthesis around (12t) 7cos * 12t + 6sin(12t) = 9 Reorder the terms for easier multiplication: 7 * 12cos * t + 6sin(12t) = 9 Multiply 7 * 12 84cos * t + 6sin(12t) = 9 Multiply cos * t 84cost + 6sin(12t) = 9 Remove parenthesis around (12t) 84cost + 6ins * 12t = 9 Reorder the terms for easier multiplication: 84cost + 6 * 12ins * t = 9 Multiply 6 * 12 84cost + 72ins * t = 9 Multiply ins * t 84cost + 72inst = 9 Solving 84cost + 72inst = 9 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-72inst' to each side of the equation. 84cost + 72inst + -72inst = 9 + -72inst Combine like terms: 72inst + -72inst = 0 84cost + 0 = 9 + -72inst 84cost = 9 + -72inst Divide each side by '84ost'. c = 0.1071428571o-1s-1t-1 + -0.8571428571ino-1 Simplifying c = 0.1071428571o-1s-1t-1 + -0.8571428571ino-1 Reorder the terms: c = -0.8571428571ino-1 + 0.1071428571o-1s-1t-1
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