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Simplifying 2a + b + 1.5c = 102.5 Solving 2a + b + 1.5c = 102.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + b + -1b + 1.5c = 102.5 + -1b Combine like terms: b + -1b = 0 2a + 0 + 1.5c = 102.5 + -1b 2a + 1.5c = 102.5 + -1b Add '-1.5c' to each side of the equation. 2a + 1.5c + -1.5c = 102.5 + -1b + -1.5c Combine like terms: 1.5c + -1.5c = 0.0 2a + 0.0 = 102.5 + -1b + -1.5c 2a = 102.5 + -1b + -1.5c Divide each side by '2'. a = 51.25 + -0.5b + -0.75c Simplifying a = 51.25 + -0.5b + -0.75c
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