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Simplifying -4(k + 5) + -1(-5k + 6) = -3 Reorder the terms: -4(5 + k) + -1(-5k + 6) = -3 (5 * -4 + k * -4) + -1(-5k + 6) = -3 (-20 + -4k) + -1(-5k + 6) = -3 Reorder the terms: -20 + -4k + -1(6 + -5k) = -3 -20 + -4k + (6 * -1 + -5k * -1) = -3 -20 + -4k + (-6 + 5k) = -3 Reorder the terms: -20 + -6 + -4k + 5k = -3 Combine like terms: -20 + -6 = -26 -26 + -4k + 5k = -3 Combine like terms: -4k + 5k = 1k -26 + 1k = -3 Solving -26 + 1k = -3 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 = -3 + 26 Combine like terms: -26 + 26 = 0 0 + 1k = -3 + 26 1k = -3 + 26 Combine like terms: -3 + 26 = 23 1k = 23 Divide each side by '1'. k = 23 Simplifying k = 23
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