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Simplifying 4(c + 5) = -1(c + 20) Reorder the terms: 4(5 + c) = -1(c + 20) (5 * 4 + c * 4) = -1(c + 20) (20 + 4c) = -1(c + 20) Reorder the terms: 20 + 4c = -1(20 + c) 20 + 4c = (20 * -1 + c * -1) 20 + 4c = (-20 + -1c) Solving 20 + 4c = -20 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 20 + 4c + c = -20 + -1c + c Combine like terms: 4c + c = 5c 20 + 5c = -20 + -1c + c Combine like terms: -1c + c = 0 20 + 5c = -20 + 0 20 + 5c = -20 Add '-20' to each side of the equation. 20 + -20 + 5c = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 5c = -20 + -20 5c = -20 + -20 Combine like terms: -20 + -20 = -40 5c = -40 Divide each side by '5'. c = -8 Simplifying c = -8
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