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Simplifying 9k + -2 + -5k = -13 + 9 + -6k Reorder the terms: -2 + 9k + -5k = -13 + 9 + -6k Combine like terms: 9k + -5k = 4k -2 + 4k = -13 + 9 + -6k Combine like terms: -13 + 9 = -4 -2 + 4k = -4 + -6k Solving -2 + 4k = -4 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -2 + 4k + 6k = -4 + -6k + 6k Combine like terms: 4k + 6k = 10k -2 + 10k = -4 + -6k + 6k Combine like terms: -6k + 6k = 0 -2 + 10k = -4 + 0 -2 + 10k = -4 Add '2' to each side of the equation. -2 + 2 + 10k = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 10k = -4 + 2 10k = -4 + 2 Combine like terms: -4 + 2 = -2 10k = -2 Divide each side by '10'. k = -0.2 Simplifying k = -0.2
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