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Simplifying -4k + 1(5k + -6) = -3k + -39 Reorder the terms: -4k + 1(-6 + 5k) = -3k + -39 -4k + (-6 * 1 + 5k * 1) = -3k + -39 -4k + (-6 + 5k) = -3k + -39 Reorder the terms: -6 + -4k + 5k = -3k + -39 Combine like terms: -4k + 5k = 1k -6 + 1k = -3k + -39 Reorder the terms: -6 + 1k = -39 + -3k Solving -6 + 1k = -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. -6 + 1k + 3k = -39 + -3k + 3k Combine like terms: 1k + 3k = 4k -6 + 4k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -6 + 4k = -39 + 0 -6 + 4k = -39 Add '6' to each side of the equation. -6 + 6 + 4k = -39 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = -39 + 6 4k = -39 + 6 Combine like terms: -39 + 6 = -33 4k = -33 Divide each side by '4'. k = -8.25 Simplifying k = -8.25
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