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Simplifying -2 + 7k = -7 + 8k Solving -2 + 7k = -7 + 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. -2 + 7k + -8k = -7 + 8k + -8k Combine like terms: 7k + -8k = -1k -2 + -1k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 -2 + -1k = -7 + 0 -2 + -1k = -7 Add '2' to each side of the equation. -2 + 2 + -1k = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = -7 + 2 -1k = -7 + 2 Combine like terms: -7 + 2 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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