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Simplifying 4k = -6(5 + -1k) 4k = (5 * -6 + -1k * -6) 4k = (-30 + 6k) Solving 4k = -30 + 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. 4k + -6k = -30 + 6k + -6k Combine like terms: 4k + -6k = -2k -2k = -30 + 6k + -6k Combine like terms: 6k + -6k = 0 -2k = -30 + 0 -2k = -30 Divide each side by '-2'. k = 15 Simplifying k = 15
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