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Simplifying -1k + -2(4 + k) = 17 + -8k -1k + (4 * -2 + k * -2) = 17 + -8k -1k + (-8 + -2k) = 17 + -8k Reorder the terms: -8 + -1k + -2k = 17 + -8k Combine like terms: -1k + -2k = -3k -8 + -3k = 17 + -8k Solving -8 + -3k = 17 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -8 + -3k + 8k = 17 + -8k + 8k Combine like terms: -3k + 8k = 5k -8 + 5k = 17 + -8k + 8k Combine like terms: -8k + 8k = 0 -8 + 5k = 17 + 0 -8 + 5k = 17 Add '8' to each side of the equation. -8 + 8 + 5k = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 5k = 17 + 8 5k = 17 + 8 Combine like terms: 17 + 8 = 25 5k = 25 Divide each side by '5'. k = 5 Simplifying k = 5
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