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Simplifying 9a + 12B + a + -10b = 0 Reorder the terms: 12B + 9a + a + -10b = 0 Combine like terms: 9a + a = 10a 12B + 10a + -10b = 0 Solving 12B + 10a + -10b = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-10a' to each side of the equation. 12B + 10a + -10a + -10b = 0 + -10a Combine like terms: 10a + -10a = 0 12B + 0 + -10b = 0 + -10a 12B + -10b = 0 + -10a Remove the zero: 12B + -10b = -10a Add '10b' to each side of the equation. 12B + -10b + 10b = -10a + 10b Combine like terms: -10b + 10b = 0 12B + 0 = -10a + 10b 12B = -10a + 10b Divide each side by '12'. B = -0.8333333333a + 0.8333333333b Simplifying B = -0.8333333333a + 0.8333333333b
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