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Simplifying 2a + 3b + -2c = 17 Solving 2a + 3b + -2c = 17 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 = 17 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + -2c = 17 + -3b 2a + -2c = 17 + -3b Add '2c' to each side of the equation. 2a + -2c + 2c = 17 + -3b + 2c Combine like terms: -2c + 2c = 0 2a + 0 = 17 + -3b + 2c 2a = 17 + -3b + 2c Divide each side by '2'. a = 8.5 + -1.5b + c Simplifying a = 8.5 + -1.5b + c
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