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Simplifying 4k + 20 = -2k + 8 Reorder the terms: 20 + 4k = -2k + 8 Reorder the terms: 20 + 4k = 8 + -2k Solving 20 + 4k = 8 + -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. 20 + 4k + 2k = 8 + -2k + 2k Combine like terms: 4k + 2k = 6k 20 + 6k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 20 + 6k = 8 + 0 20 + 6k = 8 Add '-20' to each side of the equation. 20 + -20 + 6k = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 6k = 8 + -20 6k = 8 + -20 Combine like terms: 8 + -20 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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