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Simplifying a + b + a + c = 30 Reorder the terms: a + a + b + c = 30 Combine like terms: a + a = 2a 2a + b + c = 30 Solving 2a + b + c = 30 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 + c = 30 + -1b Combine like terms: b + -1b = 0 2a + 0 + c = 30 + -1b 2a + c = 30 + -1b Add '-1c' to each side of the equation. 2a + c + -1c = 30 + -1b + -1c Combine like terms: c + -1c = 0 2a + 0 = 30 + -1b + -1c 2a = 30 + -1b + -1c Divide each side by '2'. a = 15 + -0.5b + -0.5c Simplifying a = 15 + -0.5b + -0.5c
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