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Simplifying 5(c + 4) = -1(c + 4) Reorder the terms: 5(4 + c) = -1(c + 4) (4 * 5 + c * 5) = -1(c + 4) (20 + 5c) = -1(c + 4) Reorder the terms: 20 + 5c = -1(4 + c) 20 + 5c = (4 * -1 + c * -1) 20 + 5c = (-4 + -1c) Solving 20 + 5c = -4 + -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 + 5c + c = -4 + -1c + c Combine like terms: 5c + c = 6c 20 + 6c = -4 + -1c + c Combine like terms: -1c + c = 0 20 + 6c = -4 + 0 20 + 6c = -4 Add '-20' to each side of the equation. 20 + -20 + 6c = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 6c = -4 + -20 6c = -4 + -20 Combine like terms: -4 + -20 = -24 6c = -24 Divide each side by '6'. c = -4 Simplifying c = -4
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