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Simplifying 3sin(3x) + -2cos(3x) = 13 Remove parenthesis around (3x) 3ins * 3x + -2cos(3x) = 13 Reorder the terms for easier multiplication: 3 * 3ins * x + -2cos(3x) = 13 Multiply 3 * 3 9ins * x + -2cos(3x) = 13 Multiply ins * x 9insx + -2cos(3x) = 13 Remove parenthesis around (3x) 9insx + -2cos * 3x = 13 Reorder the terms for easier multiplication: 9insx + -2 * 3cos * x = 13 Multiply -2 * 3 9insx + -6cos * x = 13 Multiply cos * x 9insx + -6cosx = 13 Reorder the terms: -6cosx + 9insx = 13 Solving -6cosx + 9insx = 13 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9insx' to each side of the equation. -6cosx + 9insx + -9insx = 13 + -9insx Combine like terms: 9insx + -9insx = 0 -6cosx + 0 = 13 + -9insx -6cosx = 13 + -9insx Divide each side by '-6osx'. c = -2.166666667o-1s-1x-1 + 1.5ino-1 Simplifying c = -2.166666667o-1s-1x-1 + 1.5ino-1 Reorder the terms: c = 1.5ino-1 + -2.166666667o-1s-1x-1
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