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Simplifying 4(1 + -4k) = -108 (1 * 4 + -4k * 4) = -108 (4 + -16k) = -108 Solving 4 + -16k = -108 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -16k = -108 + -4 Combine like terms: 4 + -4 = 0 0 + -16k = -108 + -4 -16k = -108 + -4 Combine like terms: -108 + -4 = -112 -16k = -112 Divide each side by '-16'. k = 7 Simplifying k = 7
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