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Simplifying -4(-1k + -2) = -2k + -34 Reorder the terms: -4(-2 + -1k) = -2k + -34 (-2 * -4 + -1k * -4) = -2k + -34 (8 + 4k) = -2k + -34 Reorder the terms: 8 + 4k = -34 + -2k Solving 8 + 4k = -34 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 8 + 4k + 2k = -34 + -2k + 2k Combine like terms: 4k + 2k = 6k 8 + 6k = -34 + -2k + 2k Combine like terms: -2k + 2k = 0 8 + 6k = -34 + 0 8 + 6k = -34 Add '-8' to each side of the equation. 8 + -8 + 6k = -34 + -8 Combine like terms: 8 + -8 = 0 0 + 6k = -34 + -8 6k = -34 + -8 Combine like terms: -34 + -8 = -42 6k = -42 Divide each side by '6'. k = -7 Simplifying k = -7
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