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Simplifying 3(2 + -1k) = 8(x + -2) (2 * 3 + -1k * 3) = 8(x + -2) (6 + -3k) = 8(x + -2) Reorder the terms: 6 + -3k = 8(-2 + x) 6 + -3k = (-2 * 8 + x * 8) 6 + -3k = (-16 + 8x) Solving 6 + -3k = -16 + 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 + -3k = -16 + -6 + 8x Combine like terms: 6 + -6 = 0 0 + -3k = -16 + -6 + 8x -3k = -16 + -6 + 8x Combine like terms: -16 + -6 = -22 -3k = -22 + 8x Divide each side by '-3'. k = 7.333333333 + -2.666666667x Simplifying k = 7.333333333 + -2.666666667x
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