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Simplifying 4b(a + b) + -8b2 + 9ab = 0 (a * 4b + b * 4b) + -8b2 + 9ab = 0 (4ab + 4b2) + -8b2 + 9ab = 0 Reorder the terms: 4ab + 9ab + 4b2 + -8b2 = 0 Combine like terms: 4ab + 9ab = 13ab 13ab + 4b2 + -8b2 = 0 Combine like terms: 4b2 + -8b2 = -4b2 13ab + -4b2 = 0 Solving 13ab + -4b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b2' to each side of the equation. 13ab + -4b2 + 4b2 = 0 + 4b2 Combine like terms: -4b2 + 4b2 = 0 13ab + 0 = 0 + 4b2 13ab = 0 + 4b2 Remove the zero: 13ab = 4b2 Divide each side by '13b'. a = 0.3076923077b Simplifying a = 0.3076923077b
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