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Simplifying 65 = 16 + -2k + -5a + 8k Reorder the terms: 65 = 16 + -5a + -2k + 8k Combine like terms: -2k + 8k = 6k 65 = 16 + -5a + 6k Solving 65 = 16 + -5a + 6k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 65 + 5a = 16 + -5a + 5a + 6k Combine like terms: -5a + 5a = 0 65 + 5a = 16 + 0 + 6k 65 + 5a = 16 + 6k Add '-65' to each side of the equation. 65 + -65 + 5a = 16 + -65 + 6k Combine like terms: 65 + -65 = 0 0 + 5a = 16 + -65 + 6k 5a = 16 + -65 + 6k Combine like terms: 16 + -65 = -49 5a = -49 + 6k Divide each side by '5'. a = -9.8 + 1.2k Simplifying a = -9.8 + 1.2k
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