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Simplifying 2c + 9 = -3c + 4 Reorder the terms: 9 + 2c = -3c + 4 Reorder the terms: 9 + 2c = 4 + -3c Solving 9 + 2c = 4 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 9 + 2c + 3c = 4 + -3c + 3c Combine like terms: 2c + 3c = 5c 9 + 5c = 4 + -3c + 3c Combine like terms: -3c + 3c = 0 9 + 5c = 4 + 0 9 + 5c = 4 Add '-9' to each side of the equation. 9 + -9 + 5c = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 5c = 4 + -9 5c = 4 + -9 Combine like terms: 4 + -9 = -5 5c = -5 Divide each side by '5'. c = -1 Simplifying c = -1
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