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Simplifying -4(5k + -8) = -108 Reorder the terms: -4(-8 + 5k) = -108 (-8 * -4 + 5k * -4) = -108 (32 + -20k) = -108 Solving 32 + -20k = -108 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -20k = -108 + -32 Combine like terms: 32 + -32 = 0 0 + -20k = -108 + -32 -20k = -108 + -32 Combine like terms: -108 + -32 = -140 -20k = -140 Divide each side by '-20'. k = 7 Simplifying k = 7
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