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Simplifying 2c + -3c + 2 = 5c + 6 Reorder the terms: 2 + 2c + -3c = 5c + 6 Combine like terms: 2c + -3c = -1c 2 + -1c = 5c + 6 Reorder the terms: 2 + -1c = 6 + 5c Solving 2 + -1c = 6 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 2 + -1c + -5c = 6 + 5c + -5c Combine like terms: -1c + -5c = -6c 2 + -6c = 6 + 5c + -5c Combine like terms: 5c + -5c = 0 2 + -6c = 6 + 0 2 + -6c = 6 Add '-2' to each side of the equation. 2 + -2 + -6c = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -6c = 6 + -2 -6c = 6 + -2 Combine like terms: 6 + -2 = 4 -6c = 4 Divide each side by '-6'. c = -0.6666666667 Simplifying c = -0.6666666667
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