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Simplifying (3a + 4b + -3a)(3b + -1a) = 0 Reorder the terms: (3a + -3a + 4b)(3b + -1a) = 0 Combine like terms: 3a + -3a = 0 (0 + 4b)(3b + -1a) = 0 (4b)(3b + -1a) = 0 Remove parenthesis around (4b) 4b(3b + -1a) = 0 Reorder the terms: 4b(-1a + 3b) = 0 (-1a * 4b + 3b * 4b) = 0 (-4ab + 12b2) = 0 Solving -4ab + 12b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b2' to each side of the equation. -4ab + 12b2 + -12b2 = 0 + -12b2 Combine like terms: 12b2 + -12b2 = 0 -4ab + 0 = 0 + -12b2 -4ab = 0 + -12b2 Remove the zero: -4ab = -12b2 Divide each side by '-4b'. a = 3b Simplifying a = 3b
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