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Simplifying 3a + 4b + -7a + 5b = 0 Reorder the terms: 3a + -7a + 4b + 5b = 0 Combine like terms: 3a + -7a = -4a -4a + 4b + 5b = 0 Combine like terms: 4b + 5b = 9b -4a + 9b = 0 Solving -4a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -4a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 -4a + 0 = 0 + -9b -4a = 0 + -9b Remove the zero: -4a = -9b Divide each side by '-4'. a = 2.25b Simplifying a = 2.25b
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