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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 = 30 9k = 30 + -24x Divide each side by '9'. k = 3.333333333 + -2.666666667x Simplifying k = 3.333333333 + -2.666666667x
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