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Simplifying -5 + 7k = -13 + 8k Solving -5 + 7k = -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. -5 + 7k + -8k = -13 + 8k + -8k Combine like terms: 7k + -8k = -1k -5 + -1k = -13 + 8k + -8k Combine like terms: 8k + -8k = 0 -5 + -1k = -13 + 0 -5 + -1k = -13 Add '5' to each side of the equation. -5 + 5 + -1k = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = -13 + 5 -1k = -13 + 5 Combine like terms: -13 + 5 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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