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Simplifying 8 = -4(c + 6) Reorder the terms: 8 = -4(6 + c) 8 = (6 * -4 + c * -4) 8 = (-24 + -4c) Solving 8 = -24 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 8 + 4c = -24 + -4c + 4c Combine like terms: -4c + 4c = 0 8 + 4c = -24 + 0 8 + 4c = -24 Add '-8' to each side of the equation. 8 + -8 + 4c = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 4c = -24 + -8 4c = -24 + -8 Combine like terms: -24 + -8 = -32 4c = -32 Divide each side by '4'. c = -8 Simplifying c = -8
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