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Simplifying (2b2 + 8ab3 + 4b) + -1(9b + -5ab3) = 0 Reorder the terms: (8ab3 + 4b + 2b2) + -1(9b + -5ab3) = 0 Remove parenthesis around (8ab3 + 4b + 2b2) 8ab3 + 4b + 2b2 + -1(9b + -5ab3) = 0 Reorder the terms: 8ab3 + 4b + 2b2 + -1(-5ab3 + 9b) = 0 8ab3 + 4b + 2b2 + (-5ab3 * -1 + 9b * -1) = 0 8ab3 + 4b + 2b2 + (5ab3 + -9b) = 0 Reorder the terms: 8ab3 + 5ab3 + 4b + -9b + 2b2 = 0 Combine like terms: 8ab3 + 5ab3 = 13ab3 13ab3 + 4b + -9b + 2b2 = 0 Combine like terms: 4b + -9b = -5b 13ab3 + -5b + 2b2 = 0 Solving 13ab3 + -5b + 2b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 13ab3 + -5b + 5b + 2b2 = 0 + 5b Combine like terms: -5b + 5b = 0 13ab3 + 0 + 2b2 = 0 + 5b 13ab3 + 2b2 = 0 + 5b Remove the zero: 13ab3 + 2b2 = 5b Add '-2b2' to each side of the equation. 13ab3 + 2b2 + -2b2 = 5b + -2b2 Combine like terms: 2b2 + -2b2 = 0 13ab3 + 0 = 5b + -2b2 13ab3 = 5b + -2b2 Divide each side by '13b3'. a = 0.3846153846b-2 + -0.1538461538b-1 Simplifying a = 0.3846153846b-2 + -0.1538461538b-1
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