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Simplifying 4a + -8b + 9a + 12b + 7a = 0 Reorder the terms: 4a + 9a + 7a + -8b + 12b = 0 Combine like terms: 4a + 9a = 13a 13a + 7a + -8b + 12b = 0 Combine like terms: 13a + 7a = 20a 20a + -8b + 12b = 0 Combine like terms: -8b + 12b = 4b 20a + 4b = 0 Solving 20a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 20a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 20a + 0 = 0 + -4b 20a = 0 + -4b Remove the zero: 20a = -4b Divide each side by '20'. a = -0.2b Simplifying a = -0.2b
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