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Simplifying 8k + 4 = 9k + -7 Reorder the terms: 4 + 8k = 9k + -7 Reorder the terms: 4 + 8k = -7 + 9k Solving 4 + 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. 4 + 8k + -9k = -7 + 9k + -9k Combine like terms: 8k + -9k = -1k 4 + -1k = -7 + 9k + -9k Combine like terms: 9k + -9k = 0 4 + -1k = -7 + 0 4 + -1k = -7 Add '-4' to each side of the equation. 4 + -4 + -1k = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = -7 + -4 -1k = -7 + -4 Combine like terms: -7 + -4 = -11 -1k = -11 Divide each side by '-1'. k = 11 Simplifying k = 11
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