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Simplifying 3(k + -3) = -17 + -5k Reorder the terms: 3(-3 + k) = -17 + -5k (-3 * 3 + k * 3) = -17 + -5k (-9 + 3k) = -17 + -5k Solving -9 + 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. -9 + 3k + 5k = -17 + -5k + 5k Combine like terms: 3k + 5k = 8k -9 + 8k = -17 + -5k + 5k Combine like terms: -5k + 5k = 0 -9 + 8k = -17 + 0 -9 + 8k = -17 Add '9' to each side of the equation. -9 + 9 + 8k = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 8k = -17 + 9 8k = -17 + 9 Combine like terms: -17 + 9 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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