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Simplifying a + b + a + c + b + c = 10 + 20 + 24 Reorder the terms: a + a + b + b + c + c = 10 + 20 + 24 Combine like terms: a + a = 2a 2a + b + b + c + c = 10 + 20 + 24 Combine like terms: b + b = 2b 2a + 2b + c + c = 10 + 20 + 24 Combine like terms: c + c = 2c 2a + 2b + 2c = 10 + 20 + 24 Combine like terms: 10 + 20 = 30 2a + 2b + 2c = 30 + 24 Combine like terms: 30 + 24 = 54 2a + 2b + 2c = 54 Solving 2a + 2b + 2c = 54 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2a + 2b + -2b + 2c = 54 + -2b Combine like terms: 2b + -2b = 0 2a + 0 + 2c = 54 + -2b 2a + 2c = 54 + -2b Add '-2c' to each side of the equation. 2a + 2c + -2c = 54 + -2b + -2c Combine like terms: 2c + -2c = 0 2a + 0 = 54 + -2b + -2c 2a = 54 + -2b + -2c Divide each side by '2'. a = 27 + -1b + -1c Simplifying a = 27 + -1b + -1c
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