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Simplifying 5(2a + -4b) + -4(a + -5b) = 0 (2a * 5 + -4b * 5) + -4(a + -5b) = 0 (10a + -20b) + -4(a + -5b) = 0 10a + -20b + (a * -4 + -5b * -4) = 0 10a + -20b + (-4a + 20b) = 0 Reorder the terms: 10a + -4a + -20b + 20b = 0 Combine like terms: 10a + -4a = 6a 6a + -20b + 20b = 0 Combine like terms: -20b + 20b = 0 6a + 0 = 0 6a = 0 Solving 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '6'. a = 0 Simplifying a = 0
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