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Simplifying -12 + -5k = 15 + 4k Solving -12 + -5k = 15 + 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 + -5k + -4k = 15 + 4k + -4k Combine like terms: -5k + -4k = -9k -12 + -9k = 15 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + -9k = 15 + 0 -12 + -9k = 15 Add '12' to each side of the equation. -12 + 12 + -9k = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -9k = 15 + 12 -9k = 15 + 12 Combine like terms: 15 + 12 = 27 -9k = 27 Divide each side by '-9'. k = -3 Simplifying k = -3
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