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Simplifying 8 + -3k = 8k + 13 Reorder the terms: 8 + -3k = 13 + 8k Solving 8 + -3k = 13 + 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. 8 + -3k + -8k = 13 + 8k + -8k Combine like terms: -3k + -8k = -11k 8 + -11k = 13 + 8k + -8k Combine like terms: 8k + -8k = 0 8 + -11k = 13 + 0 8 + -11k = 13 Add '-8' to each side of the equation. 8 + -8 + -11k = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -11k = 13 + -8 -11k = 13 + -8 Combine like terms: 13 + -8 = 5 -11k = 5 Divide each side by '-11'. k = -0.4545454545 Simplifying k = -0.4545454545
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