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Simplifying 100(a + b) + -50b = 0 (a * 100 + b * 100) + -50b = 0 (100a + 100b) + -50b = 0 Combine like terms: 100b + -50b = 50b 100a + 50b = 0 Solving 100a + 50b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50b' to each side of the equation. 100a + 50b + -50b = 0 + -50b Combine like terms: 50b + -50b = 0 100a + 0 = 0 + -50b 100a = 0 + -50b Remove the zero: 100a = -50b Divide each side by '100'. a = -0.5b Simplifying a = -0.5b
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