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Simplifying (4a + -5b2 + 3) + (6 + -2a + 3b2) = 0 Reorder the terms: (3 + 4a + -5b2) + (6 + -2a + 3b2) = 0 Remove parenthesis around (3 + 4a + -5b2) 3 + 4a + -5b2 + (6 + -2a + 3b2) = 0 Remove parenthesis around (6 + -2a + 3b2) 3 + 4a + -5b2 + 6 + -2a + 3b2 = 0 Reorder the terms: 3 + 6 + 4a + -2a + -5b2 + 3b2 = 0 Combine like terms: 3 + 6 = 9 9 + 4a + -2a + -5b2 + 3b2 = 0 Combine like terms: 4a + -2a = 2a 9 + 2a + -5b2 + 3b2 = 0 Combine like terms: -5b2 + 3b2 = -2b2 9 + 2a + -2b2 = 0 Solving 9 + 2a + -2b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2a + -9 + -2b2 = 0 + -9 Reorder the terms: 9 + -9 + 2a + -2b2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2a + -2b2 = 0 + -9 2a + -2b2 = 0 + -9 Combine like terms: 0 + -9 = -9 2a + -2b2 = -9 Add '2b2' to each side of the equation. 2a + -2b2 + 2b2 = -9 + 2b2 Combine like terms: -2b2 + 2b2 = 0 2a + 0 = -9 + 2b2 2a = -9 + 2b2 Divide each side by '2'. a = -4.5 + b2 Simplifying a = -4.5 + b2
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