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Simplifying 3(a + 8) = 46.5 Reorder the terms: 3(8 + a) = 46.5 (8 * 3 + a * 3) = 46.5 (24 + 3a) = 46.5 Solving 24 + 3a = 46.5 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 + 3a = 46.5 + -24 Combine like terms: 24 + -24 = 0 0 + 3a = 46.5 + -24 3a = 46.5 + -24 Combine like terms: 46.5 + -24 = 22.5 3a = 22.5 Divide each side by '3'. a = 7.5 Simplifying a = 7.5
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