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Simplifying 7c + -2(c + -1) = 17 Reorder the terms: 7c + -2(-1 + c) = 17 7c + (-1 * -2 + c * -2) = 17 7c + (2 + -2c) = 17 Reorder the terms: 2 + 7c + -2c = 17 Combine like terms: 7c + -2c = 5c 2 + 5c = 17 Solving 2 + 5c = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5c = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5c = 17 + -2 5c = 17 + -2 Combine like terms: 17 + -2 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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