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Simplifying 20 + -5c = -4(8c + 9) Reorder the terms: 20 + -5c = -4(9 + 8c) 20 + -5c = (9 * -4 + 8c * -4) 20 + -5c = (-36 + -32c) Solving 20 + -5c = -36 + -32c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '32c' to each side of the equation. 20 + -5c + 32c = -36 + -32c + 32c Combine like terms: -5c + 32c = 27c 20 + 27c = -36 + -32c + 32c Combine like terms: -32c + 32c = 0 20 + 27c = -36 + 0 20 + 27c = -36 Add '-20' to each side of the equation. 20 + -20 + 27c = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 27c = -36 + -20 27c = -36 + -20 Combine like terms: -36 + -20 = -56 27c = -56 Divide each side by '27'. c = -2.074074074 Simplifying c = -2.074074074
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