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Simplifying -3b(2a + -3b) + 6(-6ab + 25b) = 0 (2a * -3b + -3b * -3b) + 6(-6ab + 25b) = 0 (-6ab + 9b2) + 6(-6ab + 25b) = 0 -6ab + 9b2 + (-6ab * 6 + 25b * 6) = 0 -6ab + 9b2 + (-36ab + 150b) = 0 Reorder the terms: -6ab + -36ab + 150b + 9b2 = 0 Combine like terms: -6ab + -36ab = -42ab -42ab + 150b + 9b2 = 0 Solving -42ab + 150b + 9b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-150b' to each side of the equation. -42ab + 150b + -150b + 9b2 = 0 + -150b Combine like terms: 150b + -150b = 0 -42ab + 0 + 9b2 = 0 + -150b -42ab + 9b2 = 0 + -150b Remove the zero: -42ab + 9b2 = -150b Add '-9b2' to each side of the equation. -42ab + 9b2 + -9b2 = -150b + -9b2 Combine like terms: 9b2 + -9b2 = 0 -42ab + 0 = -150b + -9b2 -42ab = -150b + -9b2 Divide each side by '-42b'. a = 3.571428571 + 0.2142857143b Simplifying a = 3.571428571 + 0.2142857143b
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