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Simplifying 3a + 4b + 5a + 7b = 0 Reorder the terms: 3a + 5a + 4b + 7b = 0 Combine like terms: 3a + 5a = 8a 8a + 4b + 7b = 0 Combine like terms: 4b + 7b = 11b 8a + 11b = 0 Solving 8a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 8a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 8a + 0 = 0 + -11b 8a = 0 + -11b Remove the zero: 8a = -11b Divide each side by '8'. a = -1.375b Simplifying a = -1.375b
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