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Simplifying 4(k + -6) + -1(3k + 2) = -5 Reorder the terms: 4(-6 + k) + -1(3k + 2) = -5 (-6 * 4 + k * 4) + -1(3k + 2) = -5 (-24 + 4k) + -1(3k + 2) = -5 Reorder the terms: -24 + 4k + -1(2 + 3k) = -5 -24 + 4k + (2 * -1 + 3k * -1) = -5 -24 + 4k + (-2 + -3k) = -5 Reorder the terms: -24 + -2 + 4k + -3k = -5 Combine like terms: -24 + -2 = -26 -26 + 4k + -3k = -5 Combine like terms: 4k + -3k = 1k -26 + 1k = -5 Solving -26 + 1k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 1k = -5 + 26 Combine like terms: -26 + 26 = 0 0 + 1k = -5 + 26 1k = -5 + 26 Combine like terms: -5 + 26 = 21 1k = 21 Divide each side by '1'. k = 21 Simplifying k = 21
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