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Simplifying -100sin(x) + 6cos(x) = -80 Multiply ins * x -100insx + 6cos(x) = -80 Multiply cos * x -100insx + 6cosx = -80 Reorder the terms: 6cosx + -100insx = -80 Solving 6cosx + -100insx = -80 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '100insx' to each side of the equation. 6cosx + -100insx + 100insx = -80 + 100insx Combine like terms: -100insx + 100insx = 0 6cosx + 0 = -80 + 100insx 6cosx = -80 + 100insx Divide each side by '6osx'. c = -13.33333333o-1s-1x-1 + 16.66666667ino-1 Simplifying c = -13.33333333o-1s-1x-1 + 16.66666667ino-1 Reorder the terms: c = 16.66666667ino-1 + -13.33333333o-1s-1x-1
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