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Simplifying 8k + -6 = 10k + 12 Reorder the terms: -6 + 8k = 10k + 12 Reorder the terms: -6 + 8k = 12 + 10k Solving -6 + 8k = 12 + 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. -6 + 8k + -10k = 12 + 10k + -10k Combine like terms: 8k + -10k = -2k -6 + -2k = 12 + 10k + -10k Combine like terms: 10k + -10k = 0 -6 + -2k = 12 + 0 -6 + -2k = 12 Add '6' to each side of the equation. -6 + 6 + -2k = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2k = 12 + 6 -2k = 12 + 6 Combine like terms: 12 + 6 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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