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Simplifying -3b(7a + -3b) + 7(-5ab + -8b2) = 0 (7a * -3b + -3b * -3b) + 7(-5ab + -8b2) = 0 (-21ab + 9b2) + 7(-5ab + -8b2) = 0 -21ab + 9b2 + (-5ab * 7 + -8b2 * 7) = 0 -21ab + 9b2 + (-35ab + -56b2) = 0 Reorder the terms: -21ab + -35ab + 9b2 + -56b2 = 0 Combine like terms: -21ab + -35ab = -56ab -56ab + 9b2 + -56b2 = 0 Combine like terms: 9b2 + -56b2 = -47b2 -56ab + -47b2 = 0 Solving -56ab + -47b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '47b2' to each side of the equation. -56ab + -47b2 + 47b2 = 0 + 47b2 Combine like terms: -47b2 + 47b2 = 0 -56ab + 0 = 0 + 47b2 -56ab = 0 + 47b2 Remove the zero: -56ab = 47b2 Divide each side by '-56b'. a = -0.8392857143b Simplifying a = -0.8392857143b
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