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Simplifying 5a + 3b + -7a + 4b = 0 Reorder the terms: 5a + -7a + 3b + 4b = 0 Combine like terms: 5a + -7a = -2a -2a + 3b + 4b = 0 Combine like terms: 3b + 4b = 7b -2a + 7b = 0 Solving -2a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -2a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 -2a + 0 = 0 + -7b -2a = 0 + -7b Remove the zero: -2a = -7b Divide each side by '-2'. a = 3.5b Simplifying a = 3.5b
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