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Simplifying -5b(3a + -2b) + 6(-5ab + -8b2) = 0 (3a * -5b + -2b * -5b) + 6(-5ab + -8b2) = 0 (-15ab + 10b2) + 6(-5ab + -8b2) = 0 -15ab + 10b2 + (-5ab * 6 + -8b2 * 6) = 0 -15ab + 10b2 + (-30ab + -48b2) = 0 Reorder the terms: -15ab + -30ab + 10b2 + -48b2 = 0 Combine like terms: -15ab + -30ab = -45ab -45ab + 10b2 + -48b2 = 0 Combine like terms: 10b2 + -48b2 = -38b2 -45ab + -38b2 = 0 Solving -45ab + -38b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38b2' to each side of the equation. -45ab + -38b2 + 38b2 = 0 + 38b2 Combine like terms: -38b2 + 38b2 = 0 -45ab + 0 = 0 + 38b2 -45ab = 0 + 38b2 Remove the zero: -45ab = 38b2 Divide each side by '-45b'. a = -0.8444444444b Simplifying a = -0.8444444444b
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