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Simplifying -100 = -4(5 + -4k) -100 = (5 * -4 + -4k * -4) -100 = (-20 + 16k) Solving -100 = -20 + 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. -100 + -16k = -20 + 16k + -16k Combine like terms: 16k + -16k = 0 -100 + -16k = -20 + 0 -100 + -16k = -20 Add '100' to each side of the equation. -100 + 100 + -16k = -20 + 100 Combine like terms: -100 + 100 = 0 0 + -16k = -20 + 100 -16k = -20 + 100 Combine like terms: -20 + 100 = 80 -16k = 80 Divide each side by '-16'. k = -5 Simplifying k = -5
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