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Simplifying 124 = 0.5(94 + a) 124 = (94 * 0.5 + a * 0.5) 124 = (47 + 0.5a) Solving 124 = 47 + 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. 124 + -0.5a = 47 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 124 + -0.5a = 47 + 0.0 124 + -0.5a = 47 Add '-124' to each side of the equation. 124 + -124 + -0.5a = 47 + -124 Combine like terms: 124 + -124 = 0 0 + -0.5a = 47 + -124 -0.5a = 47 + -124 Combine like terms: 47 + -124 = -77 -0.5a = -77 Divide each side by '-0.5'. a = 154 Simplifying a = 154
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