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Simplifying -3(2k + 3) + -2(6k + -2) = 20 Reorder the terms: -3(3 + 2k) + -2(6k + -2) = 20 (3 * -3 + 2k * -3) + -2(6k + -2) = 20 (-9 + -6k) + -2(6k + -2) = 20 Reorder the terms: -9 + -6k + -2(-2 + 6k) = 20 -9 + -6k + (-2 * -2 + 6k * -2) = 20 -9 + -6k + (4 + -12k) = 20 Reorder the terms: -9 + 4 + -6k + -12k = 20 Combine like terms: -9 + 4 = -5 -5 + -6k + -12k = 20 Combine like terms: -6k + -12k = -18k -5 + -18k = 20 Solving -5 + -18k = 20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -18k = 20 + 5 Combine like terms: -5 + 5 = 0 0 + -18k = 20 + 5 -18k = 20 + 5 Combine like terms: 20 + 5 = 25 -18k = 25 Divide each side by '-18'. k = -1.388888889 Simplifying k = -1.388888889
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