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Simplifying 3a + 7k = 8(k + 4) Reorder the terms: 3a + 7k = 8(4 + k) 3a + 7k = (4 * 8 + k * 8) 3a + 7k = (32 + 8k) Solving 3a + 7k = 32 + 8k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7k' to each side of the equation. 3a + 7k + -7k = 32 + 8k + -7k Combine like terms: 7k + -7k = 0 3a + 0 = 32 + 8k + -7k 3a = 32 + 8k + -7k Combine like terms: 8k + -7k = 1k 3a = 32 + 1k Divide each side by '3'. a = 10.66666667 + 0.3333333333k Simplifying a = 10.66666667 + 0.3333333333k
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