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Simplifying 2(k + -1) = 34(-1k + -2) Reorder the terms: 2(-1 + k) = 34(-1k + -2) (-1 * 2 + k * 2) = 34(-1k + -2) (-2 + 2k) = 34(-1k + -2) Reorder the terms: -2 + 2k = 34(-2 + -1k) -2 + 2k = (-2 * 34 + -1k * 34) -2 + 2k = (-68 + -34k) Solving -2 + 2k = -68 + -34k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '34k' to each side of the equation. -2 + 2k + 34k = -68 + -34k + 34k Combine like terms: 2k + 34k = 36k -2 + 36k = -68 + -34k + 34k Combine like terms: -34k + 34k = 0 -2 + 36k = -68 + 0 -2 + 36k = -68 Add '2' to each side of the equation. -2 + 2 + 36k = -68 + 2 Combine like terms: -2 + 2 = 0 0 + 36k = -68 + 2 36k = -68 + 2 Combine like terms: -68 + 2 = -66 36k = -66 Divide each side by '36'. k = -1.833333333 Simplifying k = -1.833333333
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