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Simplifying 4 + -5k = 8 + 3k Solving 4 + -5k = 8 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 4 + -5k + -3k = 8 + 3k + -3k Combine like terms: -5k + -3k = -8k 4 + -8k = 8 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + -8k = 8 + 0 4 + -8k = 8 Add '-4' to each side of the equation. 4 + -4 + -8k = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -8k = 8 + -4 -8k = 8 + -4 Combine like terms: 8 + -4 = 4 -8k = 4 Divide each side by '-8'. k = -0.5 Simplifying k = -0.5
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