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Simplifying 82(c + 76) = 14 + -67c Reorder the terms: 82(76 + c) = 14 + -67c (76 * 82 + c * 82) = 14 + -67c (6232 + 82c) = 14 + -67c Solving 6232 + 82c = 14 + -67c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '67c' to each side of the equation. 6232 + 82c + 67c = 14 + -67c + 67c Combine like terms: 82c + 67c = 149c 6232 + 149c = 14 + -67c + 67c Combine like terms: -67c + 67c = 0 6232 + 149c = 14 + 0 6232 + 149c = 14 Add '-6232' to each side of the equation. 6232 + -6232 + 149c = 14 + -6232 Combine like terms: 6232 + -6232 = 0 0 + 149c = 14 + -6232 149c = 14 + -6232 Combine like terms: 14 + -6232 = -6218 149c = -6218 Divide each side by '149'. c = -41.73154362 Simplifying c = -41.73154362
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