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Simplifying 7(10a + 100b) = 0 (10a * 7 + 100b * 7) = 0 (70a + 700b) = 0 Solving 70a + 700b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-700b' to each side of the equation. 70a + 700b + -700b = 0 + -700b Combine like terms: 700b + -700b = 0 70a + 0 = 0 + -700b 70a = 0 + -700b Remove the zero: 70a = -700b Divide each side by '70'. a = -10b Simplifying a = -10b
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