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Simplifying -3(2 + -2k) + -3(8k + -5) = 20 (2 * -3 + -2k * -3) + -3(8k + -5) = 20 (-6 + 6k) + -3(8k + -5) = 20 Reorder the terms: -6 + 6k + -3(-5 + 8k) = 20 -6 + 6k + (-5 * -3 + 8k * -3) = 20 -6 + 6k + (15 + -24k) = 20 Reorder the terms: -6 + 15 + 6k + -24k = 20 Combine like terms: -6 + 15 = 9 9 + 6k + -24k = 20 Combine like terms: 6k + -24k = -18k 9 + -18k = 20 Solving 9 + -18k = 20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -18k = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -18k = 20 + -9 -18k = 20 + -9 Combine like terms: 20 + -9 = 11 -18k = 11 Divide each side by '-18'. k = -0.6111111111 Simplifying k = -0.6111111111
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