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Simplifying k + 2 = -4k + 12 Reorder the terms: 2 + k = -4k + 12 Reorder the terms: 2 + k = 12 + -4k Solving 2 + k = 12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 2 + k + 4k = 12 + -4k + 4k Combine like terms: k + 4k = 5k 2 + 5k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 2 + 5k = 12 + 0 2 + 5k = 12 Add '-2' to each side of the equation. 2 + -2 + 5k = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 12 + -2 5k = 12 + -2 Combine like terms: 12 + -2 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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