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Simplifying 7(-2c + 1) = 2c + -57 Reorder the terms: 7(1 + -2c) = 2c + -57 (1 * 7 + -2c * 7) = 2c + -57 (7 + -14c) = 2c + -57 Reorder the terms: 7 + -14c = -57 + 2c Solving 7 + -14c = -57 + 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. 7 + -14c + -2c = -57 + 2c + -2c Combine like terms: -14c + -2c = -16c 7 + -16c = -57 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + -16c = -57 + 0 7 + -16c = -57 Add '-7' to each side of the equation. 7 + -7 + -16c = -57 + -7 Combine like terms: 7 + -7 = 0 0 + -16c = -57 + -7 -16c = -57 + -7 Combine like terms: -57 + -7 = -64 -16c = -64 Divide each side by '-16'. c = 4 Simplifying c = 4
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