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Simplifying 4c + 2 + 5 = 2c + 15 + -4 Reorder the terms: 2 + 5 + 4c = 2c + 15 + -4 Combine like terms: 2 + 5 = 7 7 + 4c = 2c + 15 + -4 Reorder the terms: 7 + 4c = 15 + -4 + 2c Combine like terms: 15 + -4 = 11 7 + 4c = 11 + 2c Solving 7 + 4c = 11 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 7 + 4c + -2c = 11 + 2c + -2c Combine like terms: 4c + -2c = 2c 7 + 2c = 11 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + 2c = 11 + 0 7 + 2c = 11 Add '-7' to each side of the equation. 7 + -7 + 2c = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 2c = 11 + -7 2c = 11 + -7 Combine like terms: 11 + -7 = 4 2c = 4 Divide each side by '2'. c = 2 Simplifying c = 2
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