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Simplifying -10(-3k + 6k + -2 + 4) = 0 Reorder the terms: -10(-2 + 4 + -3k + 6k) = 0 Combine like terms: -2 + 4 = 2 -10(2 + -3k + 6k) = 0 Combine like terms: -3k + 6k = 3k -10(2 + 3k) = 0 (2 * -10 + 3k * -10) = 0 (-20 + -30k) = 0 Solving -20 + -30k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -30k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -30k = 0 + 20 -30k = 0 + 20 Combine like terms: 0 + 20 = 20 -30k = 20 Divide each side by '-30'. k = -0.6666666667 Simplifying k = -0.6666666667
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