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Simplifying 65 = 16 + -2k + -5 + 8k Reorder the terms: 65 = 16 + -5 + -2k + 8k Combine like terms: 16 + -5 = 11 65 = 11 + -2k + 8k Combine like terms: -2k + 8k = 6k 65 = 11 + 6k Solving 65 = 11 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 65 + -6k = 11 + 6k + -6k Combine like terms: 6k + -6k = 0 65 + -6k = 11 + 0 65 + -6k = 11 Add '-65' to each side of the equation. 65 + -65 + -6k = 11 + -65 Combine like terms: 65 + -65 = 0 0 + -6k = 11 + -65 -6k = 11 + -65 Combine like terms: 11 + -65 = -54 -6k = -54 Divide each side by '-6'. k = 9 Simplifying k = 9
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