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Simplifying -3(-6y + -2 + 3k) = 0 Reorder the terms: -3(-2 + 3k + -6y) = 0 (-2 * -3 + 3k * -3 + -6y * -3) = 0 (6 + -9k + 18y) = 0 Solving 6 + -9k + 18y = 0 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 + -9k + -6 + 18y = 0 + -6 Reorder the terms: 6 + -6 + -9k + 18y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9k + 18y = 0 + -6 -9k + 18y = 0 + -6 Combine like terms: 0 + -6 = -6 -9k + 18y = -6 Add '-18y' to each side of the equation. -9k + 18y + -18y = -6 + -18y Combine like terms: 18y + -18y = 0 -9k + 0 = -6 + -18y -9k = -6 + -18y Divide each side by '-9'. k = 0.6666666667 + 2y Simplifying k = 0.6666666667 + 2y
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