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Simplifying -3(k + -2) = 17 + 5k Reorder the terms: -3(-2 + k) = 17 + 5k (-2 * -3 + k * -3) = 17 + 5k (6 + -3k) = 17 + 5k Solving 6 + -3k = 17 + 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. 6 + -3k + -5k = 17 + 5k + -5k Combine like terms: -3k + -5k = -8k 6 + -8k = 17 + 5k + -5k Combine like terms: 5k + -5k = 0 6 + -8k = 17 + 0 6 + -8k = 17 Add '-6' to each side of the equation. 6 + -6 + -8k = 17 + -6 Combine like terms: 6 + -6 = 0 0 + -8k = 17 + -6 -8k = 17 + -6 Combine like terms: 17 + -6 = 11 -8k = 11 Divide each side by '-8'. k = -1.375 Simplifying k = -1.375
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