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Simplifying 8(a + b) + 3(2a + 3b) = 0 (a * 8 + b * 8) + 3(2a + 3b) = 0 (8a + 8b) + 3(2a + 3b) = 0 8a + 8b + (2a * 3 + 3b * 3) = 0 8a + 8b + (6a + 9b) = 0 Reorder the terms: 8a + 6a + 8b + 9b = 0 Combine like terms: 8a + 6a = 14a 14a + 8b + 9b = 0 Combine like terms: 8b + 9b = 17b 14a + 17b = 0 Solving 14a + 17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 14a + 17b + -17b = 0 + -17b Combine like terms: 17b + -17b = 0 14a + 0 = 0 + -17b 14a = 0 + -17b Remove the zero: 14a = -17b Divide each side by '14'. a = -1.214285714b Simplifying a = -1.214285714b
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