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Simplifying 8 + 9k = 4k + 7k Combine like terms: 4k + 7k = 11k 8 + 9k = 11k Solving 8 + 9k = 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 8 + 9k + -11k = 11k + -11k Combine like terms: 9k + -11k = -2k 8 + -2k = 11k + -11k Combine like terms: 11k + -11k = 0 8 + -2k = 0 Add '-8' to each side of the equation. 8 + -8 + -2k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = 0 + -8 -2k = 0 + -8 Combine like terms: 0 + -8 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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