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Simplifying 17c + -3(5c + -2) + 7 = 19 Reorder the terms: 17c + -3(-2 + 5c) + 7 = 19 17c + (-2 * -3 + 5c * -3) + 7 = 19 17c + (6 + -15c) + 7 = 19 Reorder the terms: 6 + 7 + 17c + -15c = 19 Combine like terms: 6 + 7 = 13 13 + 17c + -15c = 19 Combine like terms: 17c + -15c = 2c 13 + 2c = 19 Solving 13 + 2c = 19 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2c = 19 + -13 Combine like terms: 13 + -13 = 0 0 + 2c = 19 + -13 2c = 19 + -13 Combine like terms: 19 + -13 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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