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Simplifying 2a + 3b + 2(a + -2b) = 0 2a + 3b + (a * 2 + -2b * 2) = 0 2a + 3b + (2a + -4b) = 0 Reorder the terms: 2a + 2a + 3b + -4b = 0 Combine like terms: 2a + 2a = 4a 4a + 3b + -4b = 0 Combine like terms: 3b + -4b = -1b 4a + -1b = 0 Solving 4a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 4a + -1b + b = 0 + b Combine like terms: -1b + b = 0 4a + 0 = 0 + b 4a = 0 + b Remove the zero: 4a = b Divide each side by '4'. a = 0.25b Simplifying a = 0.25b
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