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Simplifying 10c + 2c + -10c + 2c + -2c + -1 = 19 Reorder the terms: -1 + 10c + 2c + -10c + 2c + -2c = 19 Combine like terms: 10c + 2c = 12c -1 + 12c + -10c + 2c + -2c = 19 Combine like terms: 12c + -10c = 2c -1 + 2c + 2c + -2c = 19 Combine like terms: 2c + 2c = 4c -1 + 4c + -2c = 19 Combine like terms: 4c + -2c = 2c -1 + 2c = 19 Solving -1 + 2c = 19 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2c = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 2c = 19 + 1 2c = 19 + 1 Combine like terms: 19 + 1 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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