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Simplifying -4k + 4(5k + -6) = -3k + -39 Reorder the terms: -4k + 4(-6 + 5k) = -3k + -39 -4k + (-6 * 4 + 5k * 4) = -3k + -39 -4k + (-24 + 20k) = -3k + -39 Reorder the terms: -24 + -4k + 20k = -3k + -39 Combine like terms: -4k + 20k = 16k -24 + 16k = -3k + -39 Reorder the terms: -24 + 16k = -39 + -3k Solving -24 + 16k = -39 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -24 + 16k + 3k = -39 + -3k + 3k Combine like terms: 16k + 3k = 19k -24 + 19k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -24 + 19k = -39 + 0 -24 + 19k = -39 Add '24' to each side of the equation. -24 + 24 + 19k = -39 + 24 Combine like terms: -24 + 24 = 0 0 + 19k = -39 + 24 19k = -39 + 24 Combine like terms: -39 + 24 = -15 19k = -15 Divide each side by '19'. k = -0.7894736842 Simplifying k = -0.7894736842
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