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Simplifying 0.5(a + 3) = 12 Reorder the terms: 0.5(3 + a) = 12 (3 * 0.5 + a * 0.5) = 12 (1.5 + 0.5a) = 12 Solving 1.5 + 0.5a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5a = 12 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5a = 12 + -1.5 0.5a = 12 + -1.5 Combine like terms: 12 + -1.5 = 10.5 0.5a = 10.5 Divide each side by '0.5'. a = 21 Simplifying a = 21
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