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Simplifying 3(4a + -2b + ab) + -4b(3a + -4) + 9ab = 0 Reorder the terms: 3(4a + ab + -2b) + -4b(3a + -4) + 9ab = 0 (4a * 3 + ab * 3 + -2b * 3) + -4b(3a + -4) + 9ab = 0 (12a + 3ab + -6b) + -4b(3a + -4) + 9ab = 0 Reorder the terms: 12a + 3ab + -6b + -4b(-4 + 3a) + 9ab = 0 12a + 3ab + -6b + (-4 * -4b + 3a * -4b) + 9ab = 0 Reorder the terms: 12a + 3ab + -6b + (-12ab + 16b) + 9ab = 0 12a + 3ab + -6b + (-12ab + 16b) + 9ab = 0 Reorder the terms: 12a + 3ab + -12ab + 9ab + -6b + 16b = 0 Combine like terms: 3ab + -12ab = -9ab 12a + -9ab + 9ab + -6b + 16b = 0 Combine like terms: -9ab + 9ab = 0 12a + 0 + -6b + 16b = 0 12a + -6b + 16b = 0 Combine like terms: -6b + 16b = 10b 12a + 10b = 0 Solving 12a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 12a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 12a + 0 = 0 + -10b 12a = 0 + -10b Remove the zero: 12a = -10b Divide each side by '12'. a = -0.8333333333b Simplifying a = -0.8333333333b
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