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Simplifying 125 = 0.5(92 + a) 125 = (92 * 0.5 + a * 0.5) 125 = (46 + 0.5a) Solving 125 = 46 + 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. 125 + -0.5a = 46 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 125 + -0.5a = 46 + 0.0 125 + -0.5a = 46 Add '-125' to each side of the equation. 125 + -125 + -0.5a = 46 + -125 Combine like terms: 125 + -125 = 0 0 + -0.5a = 46 + -125 -0.5a = 46 + -125 Combine like terms: 46 + -125 = -79 -0.5a = -79 Divide each side by '-0.5'. a = 158 Simplifying a = 158
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