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Simplifying -5(k + -4) + -1(-6k + -5) = -6 Reorder the terms: -5(-4 + k) + -1(-6k + -5) = -6 (-4 * -5 + k * -5) + -1(-6k + -5) = -6 (20 + -5k) + -1(-6k + -5) = -6 Reorder the terms: 20 + -5k + -1(-5 + -6k) = -6 20 + -5k + (-5 * -1 + -6k * -1) = -6 20 + -5k + (5 + 6k) = -6 Reorder the terms: 20 + 5 + -5k + 6k = -6 Combine like terms: 20 + 5 = 25 25 + -5k + 6k = -6 Combine like terms: -5k + 6k = 1k 25 + 1k = -6 Solving 25 + 1k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1k = -6 + -25 Combine like terms: 25 + -25 = 0 0 + 1k = -6 + -25 1k = -6 + -25 Combine like terms: -6 + -25 = -31 1k = -31 Divide each side by '1'. k = -31 Simplifying k = -31
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