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Simplifying -96 = -4(4 + -4k) -96 = (4 * -4 + -4k * -4) -96 = (-16 + 16k) Solving -96 = -16 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -96 + -16k = -16 + 16k + -16k Combine like terms: 16k + -16k = 0 -96 + -16k = -16 + 0 -96 + -16k = -16 Add '96' to each side of the equation. -96 + 96 + -16k = -16 + 96 Combine like terms: -96 + 96 = 0 0 + -16k = -16 + 96 -16k = -16 + 96 Combine like terms: -16 + 96 = 80 -16k = 80 Divide each side by '-16'. k = -5 Simplifying k = -5
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