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