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Simplifying 2cos2t + 3sint + 3 = 0 Reorder the terms: 3 + 2cos2t + 3inst = 0 Solving 3 + 2cos2t + 3inst = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2cos2t + -3 + 3inst = 0 + -3 Reorder the terms: 3 + -3 + 2cos2t + 3inst = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2cos2t + 3inst = 0 + -3 2cos2t + 3inst = 0 + -3 Combine like terms: 0 + -3 = -3 2cos2t + 3inst = -3 Add '-3inst' to each side of the equation. 2cos2t + 3inst + -3inst = -3 + -3inst Combine like terms: 3inst + -3inst = 0 2cos2t + 0 = -3 + -3inst 2cos2t = -3 + -3inst Divide each side by '2os2t'. c = -1.5o-1s-2t-1 + -1.5ino-1s-1 Simplifying c = -1.5o-1s-2t-1 + -1.5ino-1s-1 Reorder the terms: c = -1.5ino-1s-1 + -1.5o-1s-2t-1
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