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Simplifying a + a + 5.80 + 0.5(5.80 + a) + 3(0.5(5.80 + a)) = 246.20 a + a + 5.80 + (5.80 * 0.5 + a * 0.5) + 3(0.5(5.80 + a)) = 246.20 a + a + 5.80 + (2.9 + 0.5a) + 3(0.5(5.80 + a)) = 246.20 a + a + 5.80 + 2.9 + 0.5a + 3((5.80 * 0.5 + a * 0.5)) = 246.20 a + a + 5.80 + 2.9 + 0.5a + 3((2.9 + 0.5a)) = 246.20 a + a + 5.80 + 2.9 + 0.5a + (2.9 * 3 + 0.5a * 3) = 246.20 a + a + 5.80 + 2.9 + 0.5a + (8.7 + 1.5a) = 246.20 Reorder the terms: 5.80 + 2.9 + 8.7 + a + a + 0.5a + 1.5a = 246.20 Combine like terms: 5.80 + 2.9 = 8.7 8.7 + 8.7 + a + a + 0.5a + 1.5a = 246.20 Combine like terms: 8.7 + 8.7 = 17.4 17.4 + a + a + 0.5a + 1.5a = 246.20 Combine like terms: a + a = 2a 17.4 + 2a + 0.5a + 1.5a = 246.20 Combine like terms: 2a + 0.5a = 2.5a 17.4 + 2.5a + 1.5a = 246.20 Combine like terms: 2.5a + 1.5a = 4a 17.4 + 4a = 246.20 Solving 17.4 + 4a = 246.20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17.4' to each side of the equation. 17.4 + -17.4 + 4a = 246.20 + -17.4 Combine like terms: 17.4 + -17.4 = 0.0 0.0 + 4a = 246.20 + -17.4 4a = 246.20 + -17.4 Combine like terms: 246.20 + -17.4 = 228.8 4a = 228.8 Divide each side by '4'. a = 57.2 Simplifying a = 57.2
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