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Simplifying -2(k + 6) = 38 + -2x Reorder the terms: -2(6 + k) = 38 + -2x (6 * -2 + k * -2) = 38 + -2x (-12 + -2k) = 38 + -2x Solving -12 + -2k = 38 + -2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2k = 38 + 12 + -2x Combine like terms: -12 + 12 = 0 0 + -2k = 38 + 12 + -2x -2k = 38 + 12 + -2x Combine like terms: 38 + 12 = 50 -2k = 50 + -2x Divide each side by '-2'. k = -25 + x Simplifying k = -25 + x
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