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Simplifying -3b(5a + -3b) + 4(-3ab + -5b2) = 0 (5a * -3b + -3b * -3b) + 4(-3ab + -5b2) = 0 (-15ab + 9b2) + 4(-3ab + -5b2) = 0 -15ab + 9b2 + (-3ab * 4 + -5b2 * 4) = 0 -15ab + 9b2 + (-12ab + -20b2) = 0 Reorder the terms: -15ab + -12ab + 9b2 + -20b2 = 0 Combine like terms: -15ab + -12ab = -27ab -27ab + 9b2 + -20b2 = 0 Combine like terms: 9b2 + -20b2 = -11b2 -27ab + -11b2 = 0 Solving -27ab + -11b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11b2' to each side of the equation. -27ab + -11b2 + 11b2 = 0 + 11b2 Combine like terms: -11b2 + 11b2 = 0 -27ab + 0 = 0 + 11b2 -27ab = 0 + 11b2 Remove the zero: -27ab = 11b2 Divide each side by '-27b'. a = -0.4074074074b Simplifying a = -0.4074074074b
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