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Simplifying 12a + 7b + 4a + 2b + -8 = 0 Reorder the terms: -8 + 12a + 4a + 7b + 2b = 0 Combine like terms: 12a + 4a = 16a -8 + 16a + 7b + 2b = 0 Combine like terms: 7b + 2b = 9b -8 + 16a + 9b = 0 Solving -8 + 16a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 16a + 8 + 9b = 0 + 8 Reorder the terms: -8 + 8 + 16a + 9b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 16a + 9b = 0 + 8 16a + 9b = 0 + 8 Combine like terms: 0 + 8 = 8 16a + 9b = 8 Add '-9b' to each side of the equation. 16a + 9b + -9b = 8 + -9b Combine like terms: 9b + -9b = 0 16a + 0 = 8 + -9b 16a = 8 + -9b Divide each side by '16'. a = 0.5 + -0.5625b Simplifying a = 0.5 + -0.5625b
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