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Simplifying 2(2a + 3b) + 2a + -1b = 0 (2a * 2 + 3b * 2) + 2a + -1b = 0 (4a + 6b) + 2a + -1b = 0 Reorder the terms: 4a + 2a + 6b + -1b = 0 Combine like terms: 4a + 2a = 6a 6a + 6b + -1b = 0 Combine like terms: 6b + -1b = 5b 6a + 5b = 0 Solving 6a + 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. 6a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 6a + 0 = 0 + -5b 6a = 0 + -5b Remove the zero: 6a = -5b Divide each side by '6'. a = -0.8333333333b Simplifying a = -0.8333333333b
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