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Simplifying -4k + 2(5k + -6) = 3l + -39 Reorder the terms: -4k + 2(-6 + 5k) = 3l + -39 -4k + (-6 * 2 + 5k * 2) = 3l + -39 -4k + (-12 + 10k) = 3l + -39 Reorder the terms: -12 + -4k + 10k = 3l + -39 Combine like terms: -4k + 10k = 6k -12 + 6k = 3l + -39 Reorder the terms: -12 + 6k = -39 + 3l Solving -12 + 6k = -39 + 3l Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6k = -39 + 12 + 3l Combine like terms: -12 + 12 = 0 0 + 6k = -39 + 12 + 3l 6k = -39 + 12 + 3l Combine like terms: -39 + 12 = -27 6k = -27 + 3l Divide each side by '6'. k = -4.5 + 0.5l Simplifying k = -4.5 + 0.5l
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