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Simplifying 7 + 4c = 9c + -33 Reorder the terms: 7 + 4c = -33 + 9c Solving 7 + 4c = -33 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 7 + 4c + -9c = -33 + 9c + -9c Combine like terms: 4c + -9c = -5c 7 + -5c = -33 + 9c + -9c Combine like terms: 9c + -9c = 0 7 + -5c = -33 + 0 7 + -5c = -33 Add '-7' to each side of the equation. 7 + -7 + -5c = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -5c = -33 + -7 -5c = -33 + -7 Combine like terms: -33 + -7 = -40 -5c = -40 Divide each side by '-5'. c = 8 Simplifying c = 8
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