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Simplifying 5c + 17 + -8c = 56 + 2c + -4 Reorder the terms: 17 + 5c + -8c = 56 + 2c + -4 Combine like terms: 5c + -8c = -3c 17 + -3c = 56 + 2c + -4 Reorder the terms: 17 + -3c = 56 + -4 + 2c Combine like terms: 56 + -4 = 52 17 + -3c = 52 + 2c Solving 17 + -3c = 52 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 17 + -3c + -2c = 52 + 2c + -2c Combine like terms: -3c + -2c = -5c 17 + -5c = 52 + 2c + -2c Combine like terms: 2c + -2c = 0 17 + -5c = 52 + 0 17 + -5c = 52 Add '-17' to each side of the equation. 17 + -17 + -5c = 52 + -17 Combine like terms: 17 + -17 = 0 0 + -5c = 52 + -17 -5c = 52 + -17 Combine like terms: 52 + -17 = 35 -5c = 35 Divide each side by '-5'. c = -7 Simplifying c = -7
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