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Simplifying 2(a + b) + a + 3b = 0 (a * 2 + b * 2) + a + 3b = 0 (2a + 2b) + a + 3b = 0 Reorder the terms: 2a + a + 2b + 3b = 0 Combine like terms: 2a + a = 3a 3a + 2b + 3b = 0 Combine like terms: 2b + 3b = 5b 3a + 5b = 0 Solving 3a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 3a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 3a + 0 = 0 + -5b 3a = 0 + -5b Remove the zero: 3a = -5b Divide each side by '3'. a = -1.666666667b Simplifying a = -1.666666667b
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