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Simplifying 2(-1 + -3k) = -2(k + -11) (-1 * 2 + -3k * 2) = -2(k + -11) (-2 + -6k) = -2(k + -11) Reorder the terms: -2 + -6k = -2(-11 + k) -2 + -6k = (-11 * -2 + k * -2) -2 + -6k = (22 + -2k) Solving -2 + -6k = 22 + -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. -2 + -6k + 2k = 22 + -2k + 2k Combine like terms: -6k + 2k = -4k -2 + -4k = 22 + -2k + 2k Combine like terms: -2k + 2k = 0 -2 + -4k = 22 + 0 -2 + -4k = 22 Add '2' to each side of the equation. -2 + 2 + -4k = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -4k = 22 + 2 -4k = 22 + 2 Combine like terms: 22 + 2 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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