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Simplifying 8 = 8c + -4(c + 8) Reorder the terms: 8 = 8c + -4(8 + c) 8 = 8c + (8 * -4 + c * -4) 8 = 8c + (-32 + -4c) Reorder the terms: 8 = -32 + 8c + -4c Combine like terms: 8c + -4c = 4c 8 = -32 + 4c Solving 8 = -32 + 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 = -32 + 4c + -4c Combine like terms: 4c + -4c = 0 8 + -4c = -32 + 0 8 + -4c = -32 Add '-8' to each side of the equation. 8 + -8 + -4c = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4c = -32 + -8 -4c = -32 + -8 Combine like terms: -32 + -8 = -40 -4c = -40 Divide each side by '-4'. c = 10 Simplifying c = 10
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