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Simplifying 5c + 6 + -1c = 2c + 9 + -1c Reorder the terms: 6 + 5c + -1c = 2c + 9 + -1c Combine like terms: 5c + -1c = 4c 6 + 4c = 2c + 9 + -1c Reorder the terms: 6 + 4c = 9 + 2c + -1c Combine like terms: 2c + -1c = 1c 6 + 4c = 9 + 1c Solving 6 + 4c = 9 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 6 + 4c + -1c = 9 + 1c + -1c Combine like terms: 4c + -1c = 3c 6 + 3c = 9 + 1c + -1c Combine like terms: 1c + -1c = 0 6 + 3c = 9 + 0 6 + 3c = 9 Add '-6' to each side of the equation. 6 + -6 + 3c = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3c = 9 + -6 3c = 9 + -6 Combine like terms: 9 + -6 = 3 3c = 3 Divide each side by '3'. c = 1 Simplifying c = 1
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