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Simplifying 8a + -3(a + 8) = 66 Reorder the terms: 8a + -3(8 + a) = 66 8a + (8 * -3 + a * -3) = 66 8a + (-24 + -3a) = 66 Reorder the terms: -24 + 8a + -3a = 66 Combine like terms: 8a + -3a = 5a -24 + 5a = 66 Solving -24 + 5a = 66 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 + 5a = 66 + 24 Combine like terms: -24 + 24 = 0 0 + 5a = 66 + 24 5a = 66 + 24 Combine like terms: 66 + 24 = 90 5a = 90 Divide each side by '5'. a = 18 Simplifying a = 18
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