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Simplifying -4(k + 5) + -1(8k + -25) = 17 Reorder the terms: -4(5 + k) + -1(8k + -25) = 17 (5 * -4 + k * -4) + -1(8k + -25) = 17 (-20 + -4k) + -1(8k + -25) = 17 Reorder the terms: -20 + -4k + -1(-25 + 8k) = 17 -20 + -4k + (-25 * -1 + 8k * -1) = 17 -20 + -4k + (25 + -8k) = 17 Reorder the terms: -20 + 25 + -4k + -8k = 17 Combine like terms: -20 + 25 = 5 5 + -4k + -8k = 17 Combine like terms: -4k + -8k = -12k 5 + -12k = 17 Solving 5 + -12k = 17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12k = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -12k = 17 + -5 -12k = 17 + -5 Combine like terms: 17 + -5 = 12 -12k = 12 Divide each side by '-12'. k = -1 Simplifying k = -1
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