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Simplifying 31 = 0.5(a + 38) Reorder the terms: 31 = 0.5(38 + a) 31 = (38 * 0.5 + a * 0.5) 31 = (19 + 0.5a) Solving 31 = 19 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 31 + -0.5a = 19 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 31 + -0.5a = 19 + 0.0 31 + -0.5a = 19 Add '-31' to each side of the equation. 31 + -31 + -0.5a = 19 + -31 Combine like terms: 31 + -31 = 0 0 + -0.5a = 19 + -31 -0.5a = 19 + -31 Combine like terms: 19 + -31 = -12 -0.5a = -12 Divide each side by '-0.5'. a = 24 Simplifying a = 24
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