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Simplifying 40 + -3c + -4 = 4c + 20 + c Reorder the terms: 40 + -4 + -3c = 4c + 20 + c Combine like terms: 40 + -4 = 36 36 + -3c = 4c + 20 + c Reorder the terms: 36 + -3c = 20 + 4c + c Combine like terms: 4c + c = 5c 36 + -3c = 20 + 5c Solving 36 + -3c = 20 + 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. 36 + -3c + -5c = 20 + 5c + -5c Combine like terms: -3c + -5c = -8c 36 + -8c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 36 + -8c = 20 + 0 36 + -8c = 20 Add '-36' to each side of the equation. 36 + -36 + -8c = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -8c = 20 + -36 -8c = 20 + -36 Combine like terms: 20 + -36 = -16 -8c = -16 Divide each side by '-8'. c = 2 Simplifying c = 2
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