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Simplifying 5c + 7 + 2c = 5c + 9 + -1c Reorder the terms: 7 + 5c + 2c = 5c + 9 + -1c Combine like terms: 5c + 2c = 7c 7 + 7c = 5c + 9 + -1c Reorder the terms: 7 + 7c = 9 + 5c + -1c Combine like terms: 5c + -1c = 4c 7 + 7c = 9 + 4c Solving 7 + 7c = 9 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 7 + 7c + -4c = 9 + 4c + -4c Combine like terms: 7c + -4c = 3c 7 + 3c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 7 + 3c = 9 + 0 7 + 3c = 9 Add '-7' to each side of the equation. 7 + -7 + 3c = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 3c = 9 + -7 3c = 9 + -7 Combine like terms: 9 + -7 = 2 3c = 2 Divide each side by '3'. c = 0.6666666667 Simplifying c = 0.6666666667
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