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Simplifying 3(2a + -2b + ab) + -4b(3a + -5) + 9ab = 0 Reorder the terms: 3(2a + ab + -2b) + -4b(3a + -5) + 9ab = 0 (2a * 3 + ab * 3 + -2b * 3) + -4b(3a + -5) + 9ab = 0 (6a + 3ab + -6b) + -4b(3a + -5) + 9ab = 0 Reorder the terms: 6a + 3ab + -6b + -4b(-5 + 3a) + 9ab = 0 6a + 3ab + -6b + (-5 * -4b + 3a * -4b) + 9ab = 0 Reorder the terms: 6a + 3ab + -6b + (-12ab + 20b) + 9ab = 0 6a + 3ab + -6b + (-12ab + 20b) + 9ab = 0 Reorder the terms: 6a + 3ab + -12ab + 9ab + -6b + 20b = 0 Combine like terms: 3ab + -12ab = -9ab 6a + -9ab + 9ab + -6b + 20b = 0 Combine like terms: -9ab + 9ab = 0 6a + 0 + -6b + 20b = 0 6a + -6b + 20b = 0 Combine like terms: -6b + 20b = 14b 6a + 14b = 0 Solving 6a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 6a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 6a + 0 = 0 + -14b 6a = 0 + -14b Remove the zero: 6a = -14b Divide each side by '6'. a = -2.333333333b Simplifying a = -2.333333333b
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