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Simplifying -5(k + 5) + -1(-6k + -5) = -9 Reorder the terms: -5(5 + k) + -1(-6k + -5) = -9 (5 * -5 + k * -5) + -1(-6k + -5) = -9 (-25 + -5k) + -1(-6k + -5) = -9 Reorder the terms: -25 + -5k + -1(-5 + -6k) = -9 -25 + -5k + (-5 * -1 + -6k * -1) = -9 -25 + -5k + (5 + 6k) = -9 Reorder the terms: -25 + 5 + -5k + 6k = -9 Combine like terms: -25 + 5 = -20 -20 + -5k + 6k = -9 Combine like terms: -5k + 6k = 1k -20 + 1k = -9 Solving -20 + 1k = -9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1k = -9 + 20 Combine like terms: -20 + 20 = 0 0 + 1k = -9 + 20 1k = -9 + 20 Combine like terms: -9 + 20 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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