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Simplifying -12 = 8 + 9k + -5k Combine like terms: 9k + -5k = 4k -12 = 8 + 4k Solving -12 = 8 + 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. -12 + -4k = 8 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + -4k = 8 + 0 -12 + -4k = 8 Add '12' to each side of the equation. -12 + 12 + -4k = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4k = 8 + 12 -4k = 8 + 12 Combine like terms: 8 + 12 = 20 -4k = 20 Divide each side by '-4'. k = -5 Simplifying k = -5
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