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Simplifying 25sin(x) + -1.5cos(x) = 20 Multiply ins * x 25insx + -1.5cos(x) = 20 Multiply cos * x 25insx + -1.5cosx = 20 Reorder the terms: -1.5cosx + 25insx = 20 Solving -1.5cosx + 25insx = 20 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25insx' to each side of the equation. -1.5cosx + 25insx + -25insx = 20 + -25insx Combine like terms: 25insx + -25insx = 0 -1.5cosx + 0 = 20 + -25insx -1.5cosx = 20 + -25insx Divide each side by '-1.5osx'. 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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