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Simplifying 5c + 4 + -2c = 10 + -3c + -2 Reorder the terms: 4 + 5c + -2c = 10 + -3c + -2 Combine like terms: 5c + -2c = 3c 4 + 3c = 10 + -3c + -2 Reorder the terms: 4 + 3c = 10 + -2 + -3c Combine like terms: 10 + -2 = 8 4 + 3c = 8 + -3c Solving 4 + 3c = 8 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 4 + 3c + 3c = 8 + -3c + 3c Combine like terms: 3c + 3c = 6c 4 + 6c = 8 + -3c + 3c Combine like terms: -3c + 3c = 0 4 + 6c = 8 + 0 4 + 6c = 8 Add '-4' to each side of the equation. 4 + -4 + 6c = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 6c = 8 + -4 6c = 8 + -4 Combine like terms: 8 + -4 = 4 6c = 4 Divide each side by '6'. c = 0.6666666667 Simplifying c = 0.6666666667
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