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Simplifying -4(-1c + -8) = -4c + -8 Reorder the terms: -4(-8 + -1c) = -4c + -8 (-8 * -4 + -1c * -4) = -4c + -8 (32 + 4c) = -4c + -8 Reorder the terms: 32 + 4c = -8 + -4c Solving 32 + 4c = -8 + -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. 32 + 4c + 4c = -8 + -4c + 4c Combine like terms: 4c + 4c = 8c 32 + 8c = -8 + -4c + 4c Combine like terms: -4c + 4c = 0 32 + 8c = -8 + 0 32 + 8c = -8 Add '-32' to each side of the equation. 32 + -32 + 8c = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 8c = -8 + -32 8c = -8 + -32 Combine like terms: -8 + -32 = -40 8c = -40 Divide each side by '8'. c = -5 Simplifying c = -5
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