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Simplifying -2 = k + 7 + 8k Reorder the terms: -2 = 7 + k + 8k Combine like terms: k + 8k = 9k -2 = 7 + 9k Solving -2 = 7 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -2 + -9k = 7 + 9k + -9k Combine like terms: 9k + -9k = 0 -2 + -9k = 7 + 0 -2 + -9k = 7 Add '2' to each side of the equation. -2 + 2 + -9k = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9k = 7 + 2 -9k = 7 + 2 Combine like terms: 7 + 2 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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