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Simplifying 73 = 0.5(a + 98) Reorder the terms: 73 = 0.5(98 + a) 73 = (98 * 0.5 + a * 0.5) 73 = (49 + 0.5a) Solving 73 = 49 + 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. 73 + -0.5a = 49 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 73 + -0.5a = 49 + 0.0 73 + -0.5a = 49 Add '-73' to each side of the equation. 73 + -73 + -0.5a = 49 + -73 Combine like terms: 73 + -73 = 0 0 + -0.5a = 49 + -73 -0.5a = 49 + -73 Combine like terms: 49 + -73 = -24 -0.5a = -24 Divide each side by '-0.5'. a = 48 Simplifying a = 48
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