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Simplifying -6sin(9t) + 3cos(9t) = 0 Remove parenthesis around (9t) -6ins * 9t + 3cos(9t) = 0 Reorder the terms for easier multiplication: -6 * 9ins * t + 3cos(9t) = 0 Multiply -6 * 9 -54ins * t + 3cos(9t) = 0 Multiply ins * t -54inst + 3cos(9t) = 0 Remove parenthesis around (9t) -54inst + 3cos * 9t = 0 Reorder the terms for easier multiplication: -54inst + 3 * 9cos * t = 0 Multiply 3 * 9 -54inst + 27cos * t = 0 Multiply cos * t -54inst + 27cost = 0 Reorder the terms: 27cost + -54inst = 0 Solving 27cost + -54inst = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '54inst' to each side of the equation. 27cost + -54inst + 54inst = 0 + 54inst Combine like terms: -54inst + 54inst = 0 27cost + 0 = 0 + 54inst 27cost = 0 + 54inst Remove the zero: 27cost = 54inst Divide each side by '27ost'. c = 2ino-1 Simplifying c = 2ino-1
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