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Simplifying 2a + 3b + 2c = 32 Solving 2a + 3b + 2c = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b + 2c = 32 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + 2c = 32 + -3b 2a + 2c = 32 + -3b Add '-2c' to each side of the equation. 2a + 2c + -2c = 32 + -3b + -2c Combine like terms: 2c + -2c = 0 2a + 0 = 32 + -3b + -2c 2a = 32 + -3b + -2c Divide each side by '2'. a = 16 + -1.5b + -1c Simplifying a = 16 + -1.5b + -1c
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