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Simplifying -4(-5k + 6) + -1k = -138 Reorder the terms: -4(6 + -5k) + -1k = -138 (6 * -4 + -5k * -4) + -1k = -138 (-24 + 20k) + -1k = -138 Combine like terms: 20k + -1k = 19k -24 + 19k = -138 Solving -24 + 19k = -138 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 19k = -138 + 24 Combine like terms: -24 + 24 = 0 0 + 19k = -138 + 24 19k = -138 + 24 Combine like terms: -138 + 24 = -114 19k = -114 Divide each side by '19'. k = -6 Simplifying k = -6
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