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Simplifying -8 + 9k = 4 + 8k + -7 Reorder the terms: -8 + 9k = 4 + -7 + 8k Combine like terms: 4 + -7 = -3 -8 + 9k = -3 + 8k Solving -8 + 9k = -3 + 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. -8 + 9k + -8k = -3 + 8k + -8k Combine like terms: 9k + -8k = 1k -8 + 1k = -3 + 8k + -8k Combine like terms: 8k + -8k = 0 -8 + 1k = -3 + 0 -8 + 1k = -3 Add '8' to each side of the equation. -8 + 8 + 1k = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = -3 + 8 1k = -3 + 8 Combine like terms: -3 + 8 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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