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Simplifying -8k + 34 = 2(1 + -6k) Reorder the terms: 34 + -8k = 2(1 + -6k) 34 + -8k = (1 * 2 + -6k * 2) 34 + -8k = (2 + -12k) Solving 34 + -8k = 2 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 34 + -8k + 12k = 2 + -12k + 12k Combine like terms: -8k + 12k = 4k 34 + 4k = 2 + -12k + 12k Combine like terms: -12k + 12k = 0 34 + 4k = 2 + 0 34 + 4k = 2 Add '-34' to each side of the equation. 34 + -34 + 4k = 2 + -34 Combine like terms: 34 + -34 = 0 0 + 4k = 2 + -34 4k = 2 + -34 Combine like terms: 2 + -34 = -32 4k = -32 Divide each side by '4'. k = -8 Simplifying k = -8
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