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Simplifying 2(a + b + -1c) = 0 (a * 2 + b * 2 + -1c * 2) = 0 (2a + 2b + -2c) = 0 Solving 2a + 2b + -2c = 0 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 = 0 + -2b Combine like terms: 2b + -2b = 0 2a + 0 + -2c = 0 + -2b 2a + -2c = 0 + -2b Remove the zero: 2a + -2c = -2b Add '2c' to each side of the equation. 2a + -2c + 2c = -2b + 2c Combine like terms: -2c + 2c = 0 2a + 0 = -2b + 2c 2a = -2b + 2c Divide each side by '2'. a = -1b + c Simplifying a = -1b + c
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