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Simplifying b + a + 2b + 2a + a + 1 = 0 Reorder the terms: 1 + a + 2a + a + b + 2b = 0 Combine like terms: a + 2a = 3a 1 + 3a + a + b + 2b = 0 Combine like terms: 3a + a = 4a 1 + 4a + b + 2b = 0 Combine like terms: b + 2b = 3b 1 + 4a + 3b = 0 Solving 1 + 4a + 3b = 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 + 4a + -1 + 3b = 0 + -1 Reorder the terms: 1 + -1 + 4a + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a + 3b = 0 + -1 4a + 3b = 0 + -1 Combine like terms: 0 + -1 = -1 4a + 3b = -1 Add '-3b' to each side of the equation. 4a + 3b + -3b = -1 + -3b Combine like terms: 3b + -3b = 0 4a + 0 = -1 + -3b 4a = -1 + -3b Divide each side by '4'. a = -0.25 + -0.75b Simplifying a = -0.25 + -0.75b
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