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Simplifying 4k + -8 = 12 + 2k Reorder the terms: -8 + 4k = 12 + 2k Solving -8 + 4k = 12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -8 + 4k + -2k = 12 + 2k + -2k Combine like terms: 4k + -2k = 2k -8 + 2k = 12 + 2k + -2k Combine like terms: 2k + -2k = 0 -8 + 2k = 12 + 0 -8 + 2k = 12 Add '8' to each side of the equation. -8 + 8 + 2k = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2k = 12 + 8 2k = 12 + 8 Combine like terms: 12 + 8 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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