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Simplifying 6 + 6 + 8k + -3 = 6k + -3 + 4k Reorder the terms: 6 + 6 + -3 + 8k = 6k + -3 + 4k Combine like terms: 6 + 6 = 12 12 + -3 + 8k = 6k + -3 + 4k Combine like terms: 12 + -3 = 9 9 + 8k = 6k + -3 + 4k Reorder the terms: 9 + 8k = -3 + 6k + 4k Combine like terms: 6k + 4k = 10k 9 + 8k = -3 + 10k Solving 9 + 8k = -3 + 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. 9 + 8k + -10k = -3 + 10k + -10k Combine like terms: 8k + -10k = -2k 9 + -2k = -3 + 10k + -10k Combine like terms: 10k + -10k = 0 9 + -2k = -3 + 0 9 + -2k = -3 Add '-9' to each side of the equation. 9 + -9 + -2k = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = -3 + -9 -2k = -3 + -9 Combine like terms: -3 + -9 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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