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Simplifying 5cotx + 12 = 6cotx + 13 Reorder the terms: 12 + 5cotx = 6cotx + 13 Reorder the terms: 12 + 5cotx = 13 + 6cotx Solving 12 + 5cotx = 13 + 6cotx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cotx' to each side of the equation. 12 + 5cotx + -6cotx = 13 + 6cotx + -6cotx Combine like terms: 5cotx + -6cotx = -1cotx 12 + -1cotx = 13 + 6cotx + -6cotx Combine like terms: 6cotx + -6cotx = 0 12 + -1cotx = 13 + 0 12 + -1cotx = 13 Add '-12' to each side of the equation. 12 + -12 + -1cotx = 13 + -12 Combine like terms: 12 + -12 = 0 0 + -1cotx = 13 + -12 -1cotx = 13 + -12 Combine like terms: 13 + -12 = 1 -1cotx = 1 Divide each side by '-1otx'. c = -1o-1t-1x-1 Simplifying c = -1o-1t-1x-1
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