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Simplifying 9c + 24 = 13c + -52 Reorder the terms: 24 + 9c = 13c + -52 Reorder the terms: 24 + 9c = -52 + 13c Solving 24 + 9c = -52 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. 24 + 9c + -13c = -52 + 13c + -13c Combine like terms: 9c + -13c = -4c 24 + -4c = -52 + 13c + -13c Combine like terms: 13c + -13c = 0 24 + -4c = -52 + 0 24 + -4c = -52 Add '-24' to each side of the equation. 24 + -24 + -4c = -52 + -24 Combine like terms: 24 + -24 = 0 0 + -4c = -52 + -24 -4c = -52 + -24 Combine like terms: -52 + -24 = -76 -4c = -76 Divide each side by '-4'. c = 19 Simplifying c = 19
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