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Simplifying 3c + 8 + -7c = -9c + 43 Reorder the terms: 8 + 3c + -7c = -9c + 43 Combine like terms: 3c + -7c = -4c 8 + -4c = -9c + 43 Reorder the terms: 8 + -4c = 43 + -9c Solving 8 + -4c = 43 + -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. 8 + -4c + 9c = 43 + -9c + 9c Combine like terms: -4c + 9c = 5c 8 + 5c = 43 + -9c + 9c Combine like terms: -9c + 9c = 0 8 + 5c = 43 + 0 8 + 5c = 43 Add '-8' to each side of the equation. 8 + -8 + 5c = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 5c = 43 + -8 5c = 43 + -8 Combine like terms: 43 + -8 = 35 5c = 35 Divide each side by '5'. c = 7 Simplifying c = 7
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