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Simplifying 1 + -3k + -1 + -9 = 1 + -8k Reorder the terms: 1 + -1 + -9 + -3k = 1 + -8k Combine like terms: 1 + -1 = 0 0 + -9 + -3k = 1 + -8k -9 + -3k = 1 + -8k Solving -9 + -3k = 1 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -9 + -3k + 8k = 1 + -8k + 8k Combine like terms: -3k + 8k = 5k -9 + 5k = 1 + -8k + 8k Combine like terms: -8k + 8k = 0 -9 + 5k = 1 + 0 -9 + 5k = 1 Add '9' to each side of the equation. -9 + 9 + 5k = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 5k = 1 + 9 5k = 1 + 9 Combine like terms: 1 + 9 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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