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Simplifying 2(3a + 4b) + 7b + 3a = 0 (3a * 2 + 4b * 2) + 7b + 3a = 0 (6a + 8b) + 7b + 3a = 0 Reorder the terms: 6a + 3a + 8b + 7b = 0 Combine like terms: 6a + 3a = 9a 9a + 8b + 7b = 0 Combine like terms: 8b + 7b = 15b 9a + 15b = 0 Solving 9a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 9a + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 9a + 0 = 0 + -15b 9a = 0 + -15b Remove the zero: 9a = -15b Divide each side by '9'. a = -1.666666667b Simplifying a = -1.666666667b
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