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Simplifying 9k + -1(4 + -1k) = -1(6k + -4) 9k + (4 * -1 + -1k * -1) = -1(6k + -4) 9k + (-4 + 1k) = -1(6k + -4) Reorder the terms: -4 + 9k + 1k = -1(6k + -4) Combine like terms: 9k + 1k = 10k -4 + 10k = -1(6k + -4) Reorder the terms: -4 + 10k = -1(-4 + 6k) -4 + 10k = (-4 * -1 + 6k * -1) -4 + 10k = (4 + -6k) Solving -4 + 10k = 4 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -4 + 10k + 6k = 4 + -6k + 6k Combine like terms: 10k + 6k = 16k -4 + 16k = 4 + -6k + 6k Combine like terms: -6k + 6k = 0 -4 + 16k = 4 + 0 -4 + 16k = 4 Add '4' to each side of the equation. -4 + 4 + 16k = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 16k = 4 + 4 16k = 4 + 4 Combine like terms: 4 + 4 = 8 16k = 8 Divide each side by '16'. k = 0.5 Simplifying k = 0.5
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