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Simplifying 2(1 + 5k) = -34 + 4k (1 * 2 + 5k * 2) = -34 + 4k (2 + 10k) = -34 + 4k Solving 2 + 10k = -34 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 2 + 10k + -4k = -34 + 4k + -4k Combine like terms: 10k + -4k = 6k 2 + 6k = -34 + 4k + -4k Combine like terms: 4k + -4k = 0 2 + 6k = -34 + 0 2 + 6k = -34 Add '-2' to each side of the equation. 2 + -2 + 6k = -34 + -2 Combine like terms: 2 + -2 = 0 0 + 6k = -34 + -2 6k = -34 + -2 Combine like terms: -34 + -2 = -36 6k = -36 Divide each side by '6'. k = -6 Simplifying k = -6
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