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Simplifying 23c + 20 = 29c + 74 Reorder the terms: 20 + 23c = 29c + 74 Reorder the terms: 20 + 23c = 74 + 29c Solving 20 + 23c = 74 + 29c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-29c' to each side of the equation. 20 + 23c + -29c = 74 + 29c + -29c Combine like terms: 23c + -29c = -6c 20 + -6c = 74 + 29c + -29c Combine like terms: 29c + -29c = 0 20 + -6c = 74 + 0 20 + -6c = 74 Add '-20' to each side of the equation. 20 + -20 + -6c = 74 + -20 Combine like terms: 20 + -20 = 0 0 + -6c = 74 + -20 -6c = 74 + -20 Combine like terms: 74 + -20 = 54 -6c = 54 Divide each side by '-6'. c = -9 Simplifying c = -9
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