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Simplifying 5a + 3(2a + -8) = 9 Reorder the terms: 5a + 3(-8 + 2a) = 9 5a + (-8 * 3 + 2a * 3) = 9 5a + (-24 + 6a) = 9 Reorder the terms: -24 + 5a + 6a = 9 Combine like terms: 5a + 6a = 11a -24 + 11a = 9 Solving -24 + 11a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 11a = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 11a = 9 + 24 11a = 9 + 24 Combine like terms: 9 + 24 = 33 11a = 33 Divide each side by '11'. a = 3 Simplifying a = 3
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