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Simplifying 2c + -2(5c + -6) + -3(2c + -6) + 5c + -5 = 0 Reorder the terms: 2c + -2(-6 + 5c) + -3(2c + -6) + 5c + -5 = 0 2c + (-6 * -2 + 5c * -2) + -3(2c + -6) + 5c + -5 = 0 2c + (12 + -10c) + -3(2c + -6) + 5c + -5 = 0 Reorder the terms: 2c + 12 + -10c + -3(-6 + 2c) + 5c + -5 = 0 2c + 12 + -10c + (-6 * -3 + 2c * -3) + 5c + -5 = 0 2c + 12 + -10c + (18 + -6c) + 5c + -5 = 0 Reorder the terms: 12 + 18 + -5 + 2c + -10c + -6c + 5c = 0 Combine like terms: 12 + 18 = 30 30 + -5 + 2c + -10c + -6c + 5c = 0 Combine like terms: 30 + -5 = 25 25 + 2c + -10c + -6c + 5c = 0 Combine like terms: 2c + -10c = -8c 25 + -8c + -6c + 5c = 0 Combine like terms: -8c + -6c = -14c 25 + -14c + 5c = 0 Combine like terms: -14c + 5c = -9c 25 + -9c = 0 Solving 25 + -9c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9c = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9c = 0 + -25 -9c = 0 + -25 Combine like terms: 0 + -25 = -25 -9c = -25 Divide each side by '-9'. c = 2.777777778 Simplifying c = 2.777777778
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