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Simplifying 3(2a + 5b) + 2(4a + 2b) = 0 (2a * 3 + 5b * 3) + 2(4a + 2b) = 0 (6a + 15b) + 2(4a + 2b) = 0 6a + 15b + (4a * 2 + 2b * 2) = 0 6a + 15b + (8a + 4b) = 0 Reorder the terms: 6a + 8a + 15b + 4b = 0 Combine like terms: 6a + 8a = 14a 14a + 15b + 4b = 0 Combine like terms: 15b + 4b = 19b 14a + 19b = 0 Solving 14a + 19b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19b' to each side of the equation. 14a + 19b + -19b = 0 + -19b Combine like terms: 19b + -19b = 0 14a + 0 = 0 + -19b 14a = 0 + -19b Remove the zero: 14a = -19b Divide each side by '14'. a = -1.357142857b Simplifying a = -1.357142857b
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