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Simplifying 23 = 0.5(a + 28) Reorder the terms: 23 = 0.5(28 + a) 23 = (28 * 0.5 + a * 0.5) 23 = (14 + 0.5a) Solving 23 = 14 + 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. 23 + -0.5a = 14 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 23 + -0.5a = 14 + 0.0 23 + -0.5a = 14 Add '-23' to each side of the equation. 23 + -23 + -0.5a = 14 + -23 Combine like terms: 23 + -23 = 0 0 + -0.5a = 14 + -23 -0.5a = 14 + -23 Combine like terms: 14 + -23 = -9 -0.5a = -9 Divide each side by '-0.5'. a = 18 Simplifying a = 18
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