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Simplifying 4k + -12 + -6k = 2k + -6 + 6k + 2 Reorder the terms: -12 + 4k + -6k = 2k + -6 + 6k + 2 Combine like terms: 4k + -6k = -2k -12 + -2k = 2k + -6 + 6k + 2 Reorder the terms: -12 + -2k = -6 + 2 + 2k + 6k Combine like terms: -6 + 2 = -4 -12 + -2k = -4 + 2k + 6k Combine like terms: 2k + 6k = 8k -12 + -2k = -4 + 8k Solving -12 + -2k = -4 + 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. -12 + -2k + -8k = -4 + 8k + -8k Combine like terms: -2k + -8k = -10k -12 + -10k = -4 + 8k + -8k Combine like terms: 8k + -8k = 0 -12 + -10k = -4 + 0 -12 + -10k = -4 Add '12' to each side of the equation. -12 + 12 + -10k = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -10k = -4 + 12 -10k = -4 + 12 Combine like terms: -4 + 12 = 8 -10k = 8 Divide each side by '-10'. k = -0.8 Simplifying k = -0.8
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