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Simplifying -2 + -8 + 5k + -2 = 4k + -4 Reorder the terms: -2 + -8 + -2 + 5k = 4k + -4 Combine like terms: -2 + -8 = -10 -10 + -2 + 5k = 4k + -4 Combine like terms: -10 + -2 = -12 -12 + 5k = 4k + -4 Reorder the terms: -12 + 5k = -4 + 4k Solving -12 + 5k = -4 + 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. -12 + 5k + -4k = -4 + 4k + -4k Combine like terms: 5k + -4k = 1k -12 + 1k = -4 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + 1k = -4 + 0 -12 + 1k = -4 Add '12' to each side of the equation. -12 + 12 + 1k = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 1k = -4 + 12 1k = -4 + 12 Combine like terms: -4 + 12 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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