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Simplifying 7c + 82 = 21c + -100 Reorder the terms: 82 + 7c = 21c + -100 Reorder the terms: 82 + 7c = -100 + 21c Solving 82 + 7c = -100 + 21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21c' to each side of the equation. 82 + 7c + -21c = -100 + 21c + -21c Combine like terms: 7c + -21c = -14c 82 + -14c = -100 + 21c + -21c Combine like terms: 21c + -21c = 0 82 + -14c = -100 + 0 82 + -14c = -100 Add '-82' to each side of the equation. 82 + -82 + -14c = -100 + -82 Combine like terms: 82 + -82 = 0 0 + -14c = -100 + -82 -14c = -100 + -82 Combine like terms: -100 + -82 = -182 -14c = -182 Divide each side by '-14'. c = 13 Simplifying c = 13
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