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Simplifying -4(8c + -9) = 20 + -2c Reorder the terms: -4(-9 + 8c) = 20 + -2c (-9 * -4 + 8c * -4) = 20 + -2c (36 + -32c) = 20 + -2c Solving 36 + -32c = 20 + -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. 36 + -32c + 2c = 20 + -2c + 2c Combine like terms: -32c + 2c = -30c 36 + -30c = 20 + -2c + 2c Combine like terms: -2c + 2c = 0 36 + -30c = 20 + 0 36 + -30c = 20 Add '-36' to each side of the equation. 36 + -36 + -30c = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -30c = 20 + -36 -30c = 20 + -36 Combine like terms: 20 + -36 = -16 -30c = -16 Divide each side by '-30'. c = 0.5333333333 Simplifying c = 0.5333333333
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