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Simplifying -3(8k + -3) = -17 + 2k Reorder the terms: -3(-3 + 8k) = -17 + 2k (-3 * -3 + 8k * -3) = -17 + 2k (9 + -24k) = -17 + 2k Solving 9 + -24k = -17 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 9 + -24k + -2k = -17 + 2k + -2k Combine like terms: -24k + -2k = -26k 9 + -26k = -17 + 2k + -2k Combine like terms: 2k + -2k = 0 9 + -26k = -17 + 0 9 + -26k = -17 Add '-9' to each side of the equation. 9 + -9 + -26k = -17 + -9 Combine like terms: 9 + -9 = 0 0 + -26k = -17 + -9 -26k = -17 + -9 Combine like terms: -17 + -9 = -26 -26k = -26 Divide each side by '-26'. k = 1 Simplifying k = 1
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