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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 = -21k 17 + -21k = -25 + 25k + -25k Combine like terms: 25k + -25k = 0 17 + -21k = -25 + 0 17 + -21k = -25 Add '-17' to each side of the equation. 17 + -17 + -21k = -25 + -17 Combine like terms: 17 + -17 = 0 0 + -21k = -25 + -17 -21k = -25 + -17 Combine like terms: -25 + -17 = -42 -21k = -42 Divide each side by '-21'. k = 2 Simplifying k = 2
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