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Simplifying -4(7 + -3k) + 3(5k + -6) = 8 (7 * -4 + -3k * -4) + 3(5k + -6) = 8 (-28 + 12k) + 3(5k + -6) = 8 Reorder the terms: -28 + 12k + 3(-6 + 5k) = 8 -28 + 12k + (-6 * 3 + 5k * 3) = 8 -28 + 12k + (-18 + 15k) = 8 Reorder the terms: -28 + -18 + 12k + 15k = 8 Combine like terms: -28 + -18 = -46 -46 + 12k + 15k = 8 Combine like terms: 12k + 15k = 27k -46 + 27k = 8 Solving -46 + 27k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 27k = 8 + 46 Combine like terms: -46 + 46 = 0 0 + 27k = 8 + 46 27k = 8 + 46 Combine like terms: 8 + 46 = 54 27k = 54 Divide each side by '27'. k = 2 Simplifying k = 2
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