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Simplifying 6cotx + -2 = 4cotx + 7 Reorder the terms: -2 + 6cotx = 4cotx + 7 Reorder the terms: -2 + 6cotx = 7 + 4cotx Solving -2 + 6cotx = 7 + 4cotx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4cotx' to each side of the equation. -2 + 6cotx + -4cotx = 7 + 4cotx + -4cotx Combine like terms: 6cotx + -4cotx = 2cotx -2 + 2cotx = 7 + 4cotx + -4cotx Combine like terms: 4cotx + -4cotx = 0 -2 + 2cotx = 7 + 0 -2 + 2cotx = 7 Add '2' to each side of the equation. -2 + 2 + 2cotx = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 2cotx = 7 + 2 2cotx = 7 + 2 Combine like terms: 7 + 2 = 9 2cotx = 9 Divide each side by '2otx'. c = 4.5o-1t-1x-1 Simplifying c = 4.5o-1t-1x-1
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