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Simplifying 2a + -6b + -1c = 1 Solving 2a + -6b + -1c = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 2a + -6b + 6b + -1c = 1 + 6b Combine like terms: -6b + 6b = 0 2a + 0 + -1c = 1 + 6b 2a + -1c = 1 + 6b Add 'c' to each side of the equation. 2a + -1c + c = 1 + 6b + c Combine like terms: -1c + c = 0 2a + 0 = 1 + 6b + c 2a = 1 + 6b + c Divide each side by '2'. a = 0.5 + 3b + 0.5c Simplifying a = 0.5 + 3b + 0.5c
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