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Simplifying 2(3 + k) = -8(6 + -1x) (3 * 2 + k * 2) = -8(6 + -1x) (6 + 2k) = -8(6 + -1x) 6 + 2k = (6 * -8 + -1x * -8) 6 + 2k = (-48 + 8x) Solving 6 + 2k = -48 + 8x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2k = -48 + -6 + 8x Combine like terms: 6 + -6 = 0 0 + 2k = -48 + -6 + 8x 2k = -48 + -6 + 8x Combine like terms: -48 + -6 = -54 2k = -54 + 8x Divide each side by '2'. k = -27 + 4x Simplifying k = -27 + 4x
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