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Simplifying -3c + -2 + 7 = 4c + 2 + -6c Reorder the terms: -2 + 7 + -3c = 4c + 2 + -6c Combine like terms: -2 + 7 = 5 5 + -3c = 4c + 2 + -6c Reorder the terms: 5 + -3c = 2 + 4c + -6c Combine like terms: 4c + -6c = -2c 5 + -3c = 2 + -2c Solving 5 + -3c = 2 + -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. 5 + -3c + 2c = 2 + -2c + 2c Combine like terms: -3c + 2c = -1c 5 + -1c = 2 + -2c + 2c Combine like terms: -2c + 2c = 0 5 + -1c = 2 + 0 5 + -1c = 2 Add '-5' to each side of the equation. 5 + -5 + -1c = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 2 + -5 -1c = 2 + -5 Combine like terms: 2 + -5 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3
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