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Simplifying 35 + -6k = 2k + 3(1 + -8k) 35 + -6k = 2k + (1 * 3 + -8k * 3) 35 + -6k = 2k + (3 + -24k) Reorder the terms: 35 + -6k = 3 + 2k + -24k Combine like terms: 2k + -24k = -22k 35 + -6k = 3 + -22k Solving 35 + -6k = 3 + -22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22k' to each side of the equation. 35 + -6k + 22k = 3 + -22k + 22k Combine like terms: -6k + 22k = 16k 35 + 16k = 3 + -22k + 22k Combine like terms: -22k + 22k = 0 35 + 16k = 3 + 0 35 + 16k = 3 Add '-35' to each side of the equation. 35 + -35 + 16k = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 16k = 3 + -35 16k = 3 + -35 Combine like terms: 3 + -35 = -32 16k = -32 Divide each side by '16'. k = -2 Simplifying k = -2
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