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Simplifying 17 + 4k = 5(-5 + -5k) 17 + 4k = (-5 * 5 + -5k * 5) 17 + 4k = (-25 + -25k) Solving 17 + 4k = -25 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. 17 + 4k + 25k = -25 + -25k + 25k Combine like terms: 4k + 25k = 29k 17 + 29k = -25 + -25k + 25k Combine like terms: -25k + 25k = 0 17 + 29k = -25 + 0 17 + 29k = -25 Add '-17' to each side of the equation. 17 + -17 + 29k = -25 + -17 Combine like terms: 17 + -17 = 0 0 + 29k = -25 + -17 29k = -25 + -17 Combine like terms: -25 + -17 = -42 29k = -42 Divide each side by '29'. k = -1.448275862 Simplifying k = -1.448275862
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