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Simplifying 7(5a + 5b) + 2(6a + 3b) = 0 (5a * 7 + 5b * 7) + 2(6a + 3b) = 0 (35a + 35b) + 2(6a + 3b) = 0 35a + 35b + (6a * 2 + 3b * 2) = 0 35a + 35b + (12a + 6b) = 0 Reorder the terms: 35a + 12a + 35b + 6b = 0 Combine like terms: 35a + 12a = 47a 47a + 35b + 6b = 0 Combine like terms: 35b + 6b = 41b 47a + 41b = 0 Solving 47a + 41b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41b' to each side of the equation. 47a + 41b + -41b = 0 + -41b Combine like terms: 41b + -41b = 0 47a + 0 = 0 + -41b 47a = 0 + -41b Remove the zero: 47a = -41b Divide each side by '47'. a = -0.8723404255b Simplifying a = -0.8723404255b
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