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Simplifying 7 + 4c = 5c + 31 Reorder the terms: 7 + 4c = 31 + 5c Solving 7 + 4c = 31 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 7 + 4c + -5c = 31 + 5c + -5c Combine like terms: 4c + -5c = -1c 7 + -1c = 31 + 5c + -5c Combine like terms: 5c + -5c = 0 7 + -1c = 31 + 0 7 + -1c = 31 Add '-7' to each side of the equation. 7 + -7 + -1c = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 31 + -7 -1c = 31 + -7 Combine like terms: 31 + -7 = 24 -1c = 24 Divide each side by '-1'. c = -24 Simplifying c = -24
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