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Simplifying a + 2c + -5b + -1c + a + -1b = 0 Reorder the terms: a + a + -5b + -1b + 2c + -1c = 0 Combine like terms: a + a = 2a 2a + -5b + -1b + 2c + -1c = 0 Combine like terms: -5b + -1b = -6b 2a + -6b + 2c + -1c = 0 Combine like terms: 2c + -1c = 1c 2a + -6b + 1c = 0 Solving 2a + -6b + 1c = 0 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 = 0 + 6b Combine like terms: -6b + 6b = 0 2a + 0 + 1c = 0 + 6b 2a + 1c = 0 + 6b Remove the zero: 2a + 1c = 6b Add '-1c' to each side of the equation. 2a + 1c + -1c = 6b + -1c Combine like terms: 1c + -1c = 0 2a + 0 = 6b + -1c 2a = 6b + -1c Divide each side by '2'. a = 3b + -0.5c Simplifying a = 3b + -0.5c
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