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Simplifying -5k + 2(1 + 8k) = 6k + 17 -5k + (1 * 2 + 8k * 2) = 6k + 17 -5k + (2 + 16k) = 6k + 17 Reorder the terms: 2 + -5k + 16k = 6k + 17 Combine like terms: -5k + 16k = 11k 2 + 11k = 6k + 17 Reorder the terms: 2 + 11k = 17 + 6k Solving 2 + 11k = 17 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 2 + 11k + -6k = 17 + 6k + -6k Combine like terms: 11k + -6k = 5k 2 + 5k = 17 + 6k + -6k Combine like terms: 6k + -6k = 0 2 + 5k = 17 + 0 2 + 5k = 17 Add '-2' to each side of the equation. 2 + -2 + 5k = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 17 + -2 5k = 17 + -2 Combine like terms: 17 + -2 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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