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Simplifying -5 = 1 + -7k + 8k Combine like terms: -7k + 8k = 1k -5 = 1 + 1k Solving -5 = 1 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -5 + -1k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -5 + -1k = 1 + 0 -5 + -1k = 1 Add '5' to each side of the equation. -5 + 5 + -1k = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 1 + 5 -1k = 1 + 5 Combine like terms: 1 + 5 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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