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Simplifying 5(a + -2b) + 2(a + 5b) = 0 (a * 5 + -2b * 5) + 2(a + 5b) = 0 (5a + -10b) + 2(a + 5b) = 0 5a + -10b + (a * 2 + 5b * 2) = 0 5a + -10b + (2a + 10b) = 0 Reorder the terms: 5a + 2a + -10b + 10b = 0 Combine like terms: 5a + 2a = 7a 7a + -10b + 10b = 0 Combine like terms: -10b + 10b = 0 7a + 0 = 0 7a = 0 Solving 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '7'. a = 0 Simplifying a = 0
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