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Simplifying -12 = 5k + -3 + 4k Reorder the terms: -12 = -3 + 5k + 4k Combine like terms: 5k + 4k = 9k -12 = -3 + 9k Solving -12 = -3 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -12 + -9k = -3 + 9k + -9k Combine like terms: 9k + -9k = 0 -12 + -9k = -3 + 0 -12 + -9k = -3 Add '12' to each side of the equation. -12 + 12 + -9k = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -9k = -3 + 12 -9k = -3 + 12 Combine like terms: -3 + 12 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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