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Simplifying 3k + -3 + -9k = 8k + 2 + 2k Reorder the terms: -3 + 3k + -9k = 8k + 2 + 2k Combine like terms: 3k + -9k = -6k -3 + -6k = 8k + 2 + 2k Reorder the terms: -3 + -6k = 2 + 8k + 2k Combine like terms: 8k + 2k = 10k -3 + -6k = 2 + 10k Solving -3 + -6k = 2 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -3 + -6k + -10k = 2 + 10k + -10k Combine like terms: -6k + -10k = -16k -3 + -16k = 2 + 10k + -10k Combine like terms: 10k + -10k = 0 -3 + -16k = 2 + 0 -3 + -16k = 2 Add '3' to each side of the equation. -3 + 3 + -16k = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -16k = 2 + 3 -16k = 2 + 3 Combine like terms: 2 + 3 = 5 -16k = 5 Divide each side by '-16'. k = -0.3125 Simplifying k = -0.3125
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