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Simplifying -15sin(t) + 8cos(t) = 17 Multiply ins * t -15inst + 8cos(t) = 17 Multiply cos * t -15inst + 8cost = 17 Reorder the terms: 8cost + -15inst = 17 Solving 8cost + -15inst = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15inst' to each side of the equation. 8cost + -15inst + 15inst = 17 + 15inst Combine like terms: -15inst + 15inst = 0 8cost + 0 = 17 + 15inst 8cost = 17 + 15inst Divide each side by '8ost'. c = 2.125o-1s-1t-1 + 1.875ino-1 Simplifying c = 2.125o-1s-1t-1 + 1.875ino-1 Reorder the terms: c = 1.875ino-1 + 2.125o-1s-1t-1
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