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Simplifying 5(4a + 3b) + -5(2a + 3b) = 0 (4a * 5 + 3b * 5) + -5(2a + 3b) = 0 (20a + 15b) + -5(2a + 3b) = 0 20a + 15b + (2a * -5 + 3b * -5) = 0 20a + 15b + (-10a + -15b) = 0 Reorder the terms: 20a + -10a + 15b + -15b = 0 Combine like terms: 20a + -10a = 10a 10a + 15b + -15b = 0 Combine like terms: 15b + -15b = 0 10a + 0 = 0 10a = 0 Solving 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '10'. a = 0.0 Simplifying a = 0.0
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