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Simplifying -7(1 + -2k) = 8k + 17 (1 * -7 + -2k * -7) = 8k + 17 (-7 + 14k) = 8k + 17 Reorder the terms: -7 + 14k = 17 + 8k Solving -7 + 14k = 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. -7 + 14k + -8k = 17 + 8k + -8k Combine like terms: 14k + -8k = 6k -7 + 6k = 17 + 8k + -8k Combine like terms: 8k + -8k = 0 -7 + 6k = 17 + 0 -7 + 6k = 17 Add '7' to each side of the equation. -7 + 7 + 6k = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 6k = 17 + 7 6k = 17 + 7 Combine like terms: 17 + 7 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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