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Simplifying 4(5a + -2b) + 6(3a + -3b) = 0 (5a * 4 + -2b * 4) + 6(3a + -3b) = 0 (20a + -8b) + 6(3a + -3b) = 0 20a + -8b + (3a * 6 + -3b * 6) = 0 20a + -8b + (18a + -18b) = 0 Reorder the terms: 20a + 18a + -8b + -18b = 0 Combine like terms: 20a + 18a = 38a 38a + -8b + -18b = 0 Combine like terms: -8b + -18b = -26b 38a + -26b = 0 Solving 38a + -26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26b' to each side of the equation. 38a + -26b + 26b = 0 + 26b Combine like terms: -26b + 26b = 0 38a + 0 = 0 + 26b 38a = 0 + 26b Remove the zero: 38a = 26b Divide each side by '38'. a = 0.6842105263b Simplifying a = 0.6842105263b
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