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Simplifying 2c + 9 = 4c + -9 Reorder the terms: 9 + 2c = 4c + -9 Reorder the terms: 9 + 2c = -9 + 4c Solving 9 + 2c = -9 + 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. 9 + 2c + -4c = -9 + 4c + -4c Combine like terms: 2c + -4c = -2c 9 + -2c = -9 + 4c + -4c Combine like terms: 4c + -4c = 0 9 + -2c = -9 + 0 9 + -2c = -9 Add '-9' to each side of the equation. 9 + -9 + -2c = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -2c = -9 + -9 -2c = -9 + -9 Combine like terms: -9 + -9 = -18 -2c = -18 Divide each side by '-2'. c = 9 Simplifying c = 9
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