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Simplifying 5a + 3a + 4 + 3a + 2b + 5a + 6b = 0 Reorder the terms: 4 + 5a + 3a + 3a + 5a + 2b + 6b = 0 Combine like terms: 5a + 3a = 8a 4 + 8a + 3a + 5a + 2b + 6b = 0 Combine like terms: 8a + 3a = 11a 4 + 11a + 5a + 2b + 6b = 0 Combine like terms: 11a + 5a = 16a 4 + 16a + 2b + 6b = 0 Combine like terms: 2b + 6b = 8b 4 + 16a + 8b = 0 Solving 4 + 16a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 16a + -4 + 8b = 0 + -4 Reorder the terms: 4 + -4 + 16a + 8b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 16a + 8b = 0 + -4 16a + 8b = 0 + -4 Combine like terms: 0 + -4 = -4 16a + 8b = -4 Add '-8b' to each side of the equation. 16a + 8b + -8b = -4 + -8b Combine like terms: 8b + -8b = 0 16a + 0 = -4 + -8b 16a = -4 + -8b Divide each side by '16'. a = -0.25 + -0.5b Simplifying a = -0.25 + -0.5b
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