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Simplifying 2(a + b2) + -3(-2a + -1b2) = 0 (a * 2 + b2 * 2) + -3(-2a + -1b2) = 0 (2a + 2b2) + -3(-2a + -1b2) = 0 2a + 2b2 + (-2a * -3 + -1b2 * -3) = 0 2a + 2b2 + (6a + 3b2) = 0 Reorder the terms: 2a + 6a + 2b2 + 3b2 = 0 Combine like terms: 2a + 6a = 8a 8a + 2b2 + 3b2 = 0 Combine like terms: 2b2 + 3b2 = 5b2 8a + 5b2 = 0 Solving 8a + 5b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b2' to each side of the equation. 8a + 5b2 + -5b2 = 0 + -5b2 Combine like terms: 5b2 + -5b2 = 0 8a + 0 = 0 + -5b2 8a = 0 + -5b2 Remove the zero: 8a = -5b2 Divide each side by '8'. a = -0.625b2 Simplifying a = -0.625b2
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