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Simplifying 8c + 2 + -2c + -6 + -6c + -9 = 7c + 3 + -6c + 4 + 5c + 10 Reorder the terms: 2 + -6 + -9 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10 Combine like terms: 2 + -6 = -4 -4 + -9 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10 Combine like terms: -4 + -9 = -13 -13 + 8c + -2c + -6c = 7c + 3 + -6c + 4 + 5c + 10 Combine like terms: 8c + -2c = 6c -13 + 6c + -6c = 7c + 3 + -6c + 4 + 5c + 10 Combine like terms: 6c + -6c = 0 -13 + 0 = 7c + 3 + -6c + 4 + 5c + 10 -13 = 7c + 3 + -6c + 4 + 5c + 10 Reorder the terms: -13 = 3 + 4 + 10 + 7c + -6c + 5c Combine like terms: 3 + 4 = 7 -13 = 7 + 10 + 7c + -6c + 5c Combine like terms: 7 + 10 = 17 -13 = 17 + 7c + -6c + 5c Combine like terms: 7c + -6c = 1c -13 = 17 + 1c + 5c Combine like terms: 1c + 5c = 6c -13 = 17 + 6c Solving -13 = 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. -13 + -6c = 17 + 6c + -6c Combine like terms: 6c + -6c = 0 -13 + -6c = 17 + 0 -13 + -6c = 17 Add '13' to each side of the equation. -13 + 13 + -6c = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -6c = 17 + 13 -6c = 17 + 13 Combine like terms: 17 + 13 = 30 -6c = 30 Divide each side by '-6'. c = -5 Simplifying c = -5
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