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Simplifying 9(k + -2) = 3(8x + -4) Reorder the terms: 9(-2 + k) = 3(8x + -4) (-2 * 9 + k * 9) = 3(8x + -4) (-18 + 9k) = 3(8x + -4) Reorder the terms: -18 + 9k = 3(-4 + 8x) -18 + 9k = (-4 * 3 + 8x * 3) -18 + 9k = (-12 + 24x) Solving -18 + 9k = -12 + 24x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9k = -12 + 18 + 24x Combine like terms: -18 + 18 = 0 0 + 9k = -12 + 18 + 24x 9k = -12 + 18 + 24x Combine like terms: -12 + 18 = 6 9k = 6 + 24x Divide each side by '9'. k = 0.6666666667 + 2.666666667x Simplifying k = 0.6666666667 + 2.666666667x
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