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Simplifying 8c + -2c + -6 + -6c + -9 = 7c + 3 + -6c + 4 + 5c + 10 Reorder the terms: -6 + -9 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10 Combine like terms: -6 + -9 = -15 -15 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10 Combine like terms: 8c + -2c = 6c -15 + 6c + -6c = 7c + 3 + -6c + 4 + 5c + 10 Combine like terms: 6c + -6c = 0 -15 + 0 = 7c + 3 + -6c + 4 + 5c + 10 -15 = 7c + 3 + -6c + 4 + 5c + 10 Reorder the terms: -15 = 3 + 4 + 10 + 7c + -6c + 5c Combine like terms: 3 + 4 = 7 -15 = 7 + 10 + 7c + -6c + 5c Combine like terms: 7 + 10 = 17 -15 = 17 + 7c + -6c + 5c Combine like terms: 7c + -6c = 1c -15 = 17 + 1c + 5c Combine like terms: 1c + 5c = 6c -15 = 17 + 6c Solving -15 = 17 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -15 + -6c = 17 + 6c + -6c Combine like terms: 6c + -6c = 0 -15 + -6c = 17 + 0 -15 + -6c = 17 Add '15' to each side of the equation. -15 + 15 + -6c = 17 + 15 Combine like terms: -15 + 15 = 0 0 + -6c = 17 + 15 -6c = 17 + 15 Combine like terms: 17 + 15 = 32 -6c = 32 Divide each side by '-6'. c = -5.333333333 Simplifying c = -5.333333333
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