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Simplifying -1(10 + -4k) = 6k (10 * -1 + -4k * -1) = 6k (-10 + 4k) = 6k Solving -10 + 4k = 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. -10 + 4k + -6k = 6k + -6k Combine like terms: 4k + -6k = -2k -10 + -2k = 6k + -6k Combine like terms: 6k + -6k = 0 -10 + -2k = 0 Add '10' to each side of the equation. -10 + 10 + -2k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2k = 0 + 10 -2k = 0 + 10 Combine like terms: 0 + 10 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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