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Simplifying -5t + 7k = -13 + 8k Reorder the terms: 7k + -5t = -13 + 8k Solving 7k + -5t = -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. 7k + -8k + -5t = -13 + 8k + -8k Combine like terms: 7k + -8k = -1k -1k + -5t = -13 + 8k + -8k Combine like terms: 8k + -8k = 0 -1k + -5t = -13 + 0 -1k + -5t = -13 Add '5t' to each side of the equation. -1k + -5t + 5t = -13 + 5t Combine like terms: -5t + 5t = 0 -1k + 0 = -13 + 5t -1k = -13 + 5t Divide each side by '-1'. k = 13 + -5t Simplifying k = 13 + -5t
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