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Simplifying 4(a + b) + 5(a + b) + 6a = 0 (a * 4 + b * 4) + 5(a + b) + 6a = 0 (4a + 4b) + 5(a + b) + 6a = 0 4a + 4b + (a * 5 + b * 5) + 6a = 0 4a + 4b + (5a + 5b) + 6a = 0 Reorder the terms: 4a + 5a + 6a + 4b + 5b = 0 Combine like terms: 4a + 5a = 9a 9a + 6a + 4b + 5b = 0 Combine like terms: 9a + 6a = 15a 15a + 4b + 5b = 0 Combine like terms: 4b + 5b = 9b 15a + 9b = 0 Solving 15a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 15a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 15a + 0 = 0 + -9b 15a = 0 + -9b Remove the zero: 15a = -9b Divide each side by '15'. a = -0.6b Simplifying a = -0.6b
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