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Simplifying 7(6a + 2b) + 3(4a + 5a) = 0 (6a * 7 + 2b * 7) + 3(4a + 5a) = 0 (42a + 14b) + 3(4a + 5a) = 0 Combine like terms: 4a + 5a = 9a 42a + 14b + 3(9a) = 0 Remove parenthesis around (9a) 42a + 14b + 3 * 9a = 0 Multiply 3 * 9 42a + 14b + 27a = 0 Reorder the terms: 42a + 27a + 14b = 0 Combine like terms: 42a + 27a = 69a 69a + 14b = 0 Solving 69a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 69a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 69a + 0 = 0 + -14b 69a = 0 + -14b Remove the zero: 69a = -14b Divide each side by '69'. a = -0.2028985507b Simplifying a = -0.2028985507b
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