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Simplifying 12 + -2k = 8k + -3 Reorder the terms: 12 + -2k = -3 + 8k Solving 12 + -2k = -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. 12 + -2k + -8k = -3 + 8k + -8k Combine like terms: -2k + -8k = -10k 12 + -10k = -3 + 8k + -8k Combine like terms: 8k + -8k = 0 12 + -10k = -3 + 0 12 + -10k = -3 Add '-12' to each side of the equation. 12 + -12 + -10k = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -10k = -3 + -12 -10k = -3 + -12 Combine like terms: -3 + -12 = -15 -10k = -15 Divide each side by '-10'. k = 1.5 Simplifying k = 1.5
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