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Simplifying 3k + 2k + -6 = 8k + 3 Reorder the terms: -6 + 3k + 2k = 8k + 3 Combine like terms: 3k + 2k = 5k -6 + 5k = 8k + 3 Reorder the terms: -6 + 5k = 3 + 8k Solving -6 + 5k = 3 + 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. -6 + 5k + -8k = 3 + 8k + -8k Combine like terms: 5k + -8k = -3k -6 + -3k = 3 + 8k + -8k Combine like terms: 8k + -8k = 0 -6 + -3k = 3 + 0 -6 + -3k = 3 Add '6' to each side of the equation. -6 + 6 + -3k = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -3k = 3 + 6 -3k = 3 + 6 Combine like terms: 3 + 6 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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