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Simplifying 4c + -3c + 7 = 2c + 10 Reorder the terms: 7 + 4c + -3c = 2c + 10 Combine like terms: 4c + -3c = 1c 7 + 1c = 2c + 10 Reorder the terms: 7 + 1c = 10 + 2c Solving 7 + 1c = 10 + 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 + 1c + -2c = 10 + 2c + -2c Combine like terms: 1c + -2c = -1c 7 + -1c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + -1c = 10 + 0 7 + -1c = 10 Add '-7' to each side of the equation. 7 + -7 + -1c = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 10 + -7 -1c = 10 + -7 Combine like terms: 10 + -7 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3
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