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Simplifying 0 = 8 + 7cos(3t) + 7cos(6t) Remove parenthesis around (3t) 0 = 8 + 7cos * 3t + 7cos(6t) Reorder the terms for easier multiplication: 0 = 8 + 7 * 3cos * t + 7cos(6t) Multiply 7 * 3 0 = 8 + 21cos * t + 7cos(6t) Multiply cos * t 0 = 8 + 21cost + 7cos(6t) Remove parenthesis around (6t) 0 = 8 + 21cost + 7cos * 6t Reorder the terms for easier multiplication: 0 = 8 + 21cost + 7 * 6cos * t Multiply 7 * 6 0 = 8 + 21cost + 42cos * t Multiply cos * t 0 = 8 + 21cost + 42cost Combine like terms: 21cost + 42cost = 63cost 0 = 8 + 63cost Solving 0 = 8 + 63cost Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-63cost' to each side of the equation. 0 + -63cost = 8 + 63cost + -63cost Remove the zero: -63cost = 8 + 63cost + -63cost Combine like terms: 63cost + -63cost = 0 -63cost = 8 + 0 -63cost = 8 Divide each side by '-63ost'. c = -0.126984127o-1s-1t-1 Simplifying c = -0.126984127o-1s-1t-1
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