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Simplifying -17 + 4k = -5(k + -2) Reorder the terms: -17 + 4k = -5(-2 + k) -17 + 4k = (-2 * -5 + k * -5) -17 + 4k = (10 + -5k) Solving -17 + 4k = 10 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -17 + 4k + 5k = 10 + -5k + 5k Combine like terms: 4k + 5k = 9k -17 + 9k = 10 + -5k + 5k Combine like terms: -5k + 5k = 0 -17 + 9k = 10 + 0 -17 + 9k = 10 Add '17' to each side of the equation. -17 + 17 + 9k = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 9k = 10 + 17 9k = 10 + 17 Combine like terms: 10 + 17 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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