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Simplifying a + 2b + -1b + -3a + 4a + -2b + 1 = 0 Reorder the terms: 1 + a + -3a + 4a + 2b + -1b + -2b = 0 Combine like terms: a + -3a = -2a 1 + -2a + 4a + 2b + -1b + -2b = 0 Combine like terms: -2a + 4a = 2a 1 + 2a + 2b + -1b + -2b = 0 Combine like terms: 2b + -1b = 1b 1 + 2a + 1b + -2b = 0 Combine like terms: 1b + -2b = -1b 1 + 2a + -1b = 0 Solving 1 + 2a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2a + -1 + -1b = 0 + -1 Reorder the terms: 1 + -1 + 2a + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a + -1b = 0 + -1 2a + -1b = 0 + -1 Combine like terms: 0 + -1 = -1 2a + -1b = -1 Add 'b' to each side of the equation. 2a + -1b + b = -1 + b Combine like terms: -1b + b = 0 2a + 0 = -1 + b 2a = -1 + b Divide each side by '2'. a = -0.5 + 0.5b Simplifying a = -0.5 + 0.5b
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