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Simplifying 9c + -2c + 8 = 4c + 38 Reorder the terms: 8 + 9c + -2c = 4c + 38 Combine like terms: 9c + -2c = 7c 8 + 7c = 4c + 38 Reorder the terms: 8 + 7c = 38 + 4c Solving 8 + 7c = 38 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 8 + 7c + -4c = 38 + 4c + -4c Combine like terms: 7c + -4c = 3c 8 + 3c = 38 + 4c + -4c Combine like terms: 4c + -4c = 0 8 + 3c = 38 + 0 8 + 3c = 38 Add '-8' to each side of the equation. 8 + -8 + 3c = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 3c = 38 + -8 3c = 38 + -8 Combine like terms: 38 + -8 = 30 3c = 30 Divide each side by '3'. c = 10 Simplifying c = 10
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