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Simplifying 5(3a + 2b) + 5(4a + 4b) = 0 (3a * 5 + 2b * 5) + 5(4a + 4b) = 0 (15a + 10b) + 5(4a + 4b) = 0 15a + 10b + (4a * 5 + 4b * 5) = 0 15a + 10b + (20a + 20b) = 0 Reorder the terms: 15a + 20a + 10b + 20b = 0 Combine like terms: 15a + 20a = 35a 35a + 10b + 20b = 0 Combine like terms: 10b + 20b = 30b 35a + 30b = 0 Solving 35a + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30b' to each side of the equation. 35a + 30b + -30b = 0 + -30b Combine like terms: 30b + -30b = 0 35a + 0 = 0 + -30b 35a = 0 + -30b Remove the zero: 35a = -30b Divide each side by '35'. a = -0.8571428571b Simplifying a = -0.8571428571b
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