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Simplifying 4(k + -6) + -1(3k + -6) = -4 Reorder the terms: 4(-6 + k) + -1(3k + -6) = -4 (-6 * 4 + k * 4) + -1(3k + -6) = -4 (-24 + 4k) + -1(3k + -6) = -4 Reorder the terms: -24 + 4k + -1(-6 + 3k) = -4 -24 + 4k + (-6 * -1 + 3k * -1) = -4 -24 + 4k + (6 + -3k) = -4 Reorder the terms: -24 + 6 + 4k + -3k = -4 Combine like terms: -24 + 6 = -18 -18 + 4k + -3k = -4 Combine like terms: 4k + -3k = 1k -18 + 1k = -4 Solving -18 + 1k = -4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1k = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 1k = -4 + 18 1k = -4 + 18 Combine like terms: -4 + 18 = 14 1k = 14 Divide each side by '1'. k = 14 Simplifying k = 14
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