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Simplifying 8 = k + -2 + 4k Reorder the terms: 8 = -2 + k + 4k Combine like terms: k + 4k = 5k 8 = -2 + 5k Solving 8 = -2 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 8 + -5k = -2 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -5k = -2 + 0 8 + -5k = -2 Add '-8' to each side of the equation. 8 + -8 + -5k = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = -2 + -8 -5k = -2 + -8 Combine like terms: -2 + -8 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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