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Simplifying 2c + 5 = 4c + -9 Reorder the terms: 5 + 2c = 4c + -9 Reorder the terms: 5 + 2c = -9 + 4c Solving 5 + 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. 5 + 2c + -4c = -9 + 4c + -4c Combine like terms: 2c + -4c = -2c 5 + -2c = -9 + 4c + -4c Combine like terms: 4c + -4c = 0 5 + -2c = -9 + 0 5 + -2c = -9 Add '-5' to each side of the equation. 5 + -5 + -2c = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2c = -9 + -5 -2c = -9 + -5 Combine like terms: -9 + -5 = -14 -2c = -14 Divide each side by '-2'. c = 7 Simplifying c = 7
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