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Simplifying 2a + 3b + -1c = 15 Solving 2a + 3b + -1c = 15 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 + -1c = 15 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + -1c = 15 + -3b 2a + -1c = 15 + -3b Add 'c' to each side of the equation. 2a + -1c + c = 15 + -3b + c Combine like terms: -1c + c = 0 2a + 0 = 15 + -3b + c 2a = 15 + -3b + c Divide each side by '2'. a = 7.5 + -1.5b + 0.5c Simplifying a = 7.5 + -1.5b + 0.5c
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