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Simplifying 8k + -1 = 9k + -7 Reorder the terms: -1 + 8k = 9k + -7 Reorder the terms: -1 + 8k = -7 + 9k Solving -1 + 8k = -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. -1 + 8k + -9k = -7 + 9k + -9k Combine like terms: 8k + -9k = -1k -1 + -1k = -7 + 9k + -9k Combine like terms: 9k + -9k = 0 -1 + -1k = -7 + 0 -1 + -1k = -7 Add '1' to each side of the equation. -1 + 1 + -1k = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -1k = -7 + 1 -1k = -7 + 1 Combine like terms: -7 + 1 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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