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Simplifying 6sin(2x) + -8cos(x) + 9sin(x) + -6 = 0 Remove parenthesis around (2x) 6ins * 2x + -8cos(x) + 9sin(x) + -6 = 0 Reorder the terms for easier multiplication: 6 * 2ins * x + -8cos(x) + 9sin(x) + -6 = 0 Multiply 6 * 2 12ins * x + -8cos(x) + 9sin(x) + -6 = 0 Multiply ins * x 12insx + -8cos(x) + 9sin(x) + -6 = 0 Multiply cos * x 12insx + -8cosx + 9sin(x) + -6 = 0 Multiply ins * x 12insx + -8cosx + 9insx + -6 = 0 Reorder the terms: -6 + -8cosx + 12insx + 9insx = 0 Combine like terms: 12insx + 9insx = 21insx -6 + -8cosx + 21insx = 0 Solving -6 + -8cosx + 21insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -8cosx + 6 + 21insx = 0 + 6 Reorder the terms: -6 + 6 + -8cosx + 21insx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -8cosx + 21insx = 0 + 6 -8cosx + 21insx = 0 + 6 Combine like terms: 0 + 6 = 6 -8cosx + 21insx = 6 Add '-21insx' to each side of the equation. -8cosx + 21insx + -21insx = 6 + -21insx Combine like terms: 21insx + -21insx = 0 -8cosx + 0 = 6 + -21insx -8cosx = 6 + -21insx Divide each side by '-8osx'. c = -0.75o-1s-1x-1 + 2.625ino-1 Simplifying c = -0.75o-1s-1x-1 + 2.625ino-1 Reorder the terms: c = 2.625ino-1 + -0.75o-1s-1x-1
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