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Simplifying 6(2k + -3) = 2k + -43 + 5k Reorder the terms: 6(-3 + 2k) = 2k + -43 + 5k (-3 * 6 + 2k * 6) = 2k + -43 + 5k (-18 + 12k) = 2k + -43 + 5k Reorder the terms: -18 + 12k = -43 + 2k + 5k Combine like terms: 2k + 5k = 7k -18 + 12k = -43 + 7k Solving -18 + 12k = -43 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -18 + 12k + -7k = -43 + 7k + -7k Combine like terms: 12k + -7k = 5k -18 + 5k = -43 + 7k + -7k Combine like terms: 7k + -7k = 0 -18 + 5k = -43 + 0 -18 + 5k = -43 Add '18' to each side of the equation. -18 + 18 + 5k = -43 + 18 Combine like terms: -18 + 18 = 0 0 + 5k = -43 + 18 5k = -43 + 18 Combine like terms: -43 + 18 = -25 5k = -25 Divide each side by '5'. k = -5 Simplifying k = -5
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