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Simplifying 4 + 5k = -5 + 8k Solving 4 + 5k = -5 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 4 + 5k + -8k = -5 + 8k + -8k Combine like terms: 5k + -8k = -3k 4 + -3k = -5 + 8k + -8k Combine like terms: 8k + -8k = 0 4 + -3k = -5 + 0 4 + -3k = -5 Add '-4' to each side of the equation. 4 + -4 + -3k = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = -5 + -4 -3k = -5 + -4 Combine like terms: -5 + -4 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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