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