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Simplifying -1(k + 6) + -1(5 + -5k) = -19 Reorder the terms: -1(6 + k) + -1(5 + -5k) = -19 (6 * -1 + k * -1) + -1(5 + -5k) = -19 (-6 + -1k) + -1(5 + -5k) = -19 -6 + -1k + (5 * -1 + -5k * -1) = -19 -6 + -1k + (-5 + 5k) = -19 Reorder the terms: -6 + -5 + -1k + 5k = -19 Combine like terms: -6 + -5 = -11 -11 + -1k + 5k = -19 Combine like terms: -1k + 5k = 4k -11 + 4k = -19 Solving -11 + 4k = -19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4k = -19 + 11 Combine like terms: -11 + 11 = 0 0 + 4k = -19 + 11 4k = -19 + 11 Combine like terms: -19 + 11 = -8 4k = -8 Divide each side by '4'. k = -2 Simplifying k = -2
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