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Simplifying 6a + 5(2 + 8a) = 378 6a + (2 * 5 + 8a * 5) = 378 6a + (10 + 40a) = 378 Reorder the terms: 10 + 6a + 40a = 378 Combine like terms: 6a + 40a = 46a 10 + 46a = 378 Solving 10 + 46a = 378 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 46a = 378 + -10 Combine like terms: 10 + -10 = 0 0 + 46a = 378 + -10 46a = 378 + -10 Combine like terms: 378 + -10 = 368 46a = 368 Divide each side by '46'. a = 8 Simplifying a = 8
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