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Simplifying -1k + 8(5 + -3k) = 140 -1k + (5 * 8 + -3k * 8) = 140 -1k + (40 + -24k) = 140 Reorder the terms: 40 + -1k + -24k = 140 Combine like terms: -1k + -24k = -25k 40 + -25k = 140 Solving 40 + -25k = 140 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -25k = 140 + -40 Combine like terms: 40 + -40 = 0 0 + -25k = 140 + -40 -25k = 140 + -40 Combine like terms: 140 + -40 = 100 -25k = 100 Divide each side by '-25'. k = -4 Simplifying k = -4
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