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Simplifying 8x + 9a + -7b + 9b + -3a + 12x = 0 Reorder the terms: 9a + -3a + -7b + 9b + 8x + 12x = 0 Combine like terms: 9a + -3a = 6a 6a + -7b + 9b + 8x + 12x = 0 Combine like terms: -7b + 9b = 2b 6a + 2b + 8x + 12x = 0 Combine like terms: 8x + 12x = 20x 6a + 2b + 20x = 0 Solving 6a + 2b + 20x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 6a + 2b + -2b + 20x = 0 + -2b Combine like terms: 2b + -2b = 0 6a + 0 + 20x = 0 + -2b 6a + 20x = 0 + -2b Remove the zero: 6a + 20x = -2b Add '-20x' to each side of the equation. 6a + 20x + -20x = -2b + -20x Combine like terms: 20x + -20x = 0 6a + 0 = -2b + -20x 6a = -2b + -20x Divide each side by '6'. a = -0.3333333333b + -3.333333333x Simplifying a = -0.3333333333b + -3.333333333x
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