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Simplifying -39 = 4k + 9 Reorder the terms: -39 = 9 + 4k Solving -39 = 9 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -39 + -4k = 9 + 4k + -4k Combine like terms: 4k + -4k = 0 -39 + -4k = 9 + 0 -39 + -4k = 9 Add '39' to each side of the equation. -39 + 39 + -4k = 9 + 39 Combine like terms: -39 + 39 = 0 0 + -4k = 9 + 39 -4k = 9 + 39 Combine like terms: 9 + 39 = 48 -4k = 48 Divide each side by '-4'. k = -12 Simplifying k = -12
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