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