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Simplifying 7(3a + -1b) + -20a + 7B = 0 (3a * 7 + -1b * 7) + -20a + 7B = 0 (21a + -7b) + -20a + 7B = 0 Reorder the terms: 7B + 21a + -20a + -7b = 0 Combine like terms: 21a + -20a = 1a 7B + 1a + -7b = 0 Solving 7B + 1a + -7b = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1a' to each side of the equation. 7B + 1a + -1a + -7b = 0 + -1a Combine like terms: 1a + -1a = 0 7B + 0 + -7b = 0 + -1a 7B + -7b = 0 + -1a Remove the zero: 7B + -7b = -1a Add '7b' to each side of the equation. 7B + -7b + 7b = -1a + 7b Combine like terms: -7b + 7b = 0 7B + 0 = -1a + 7b 7B = -1a + 7b Divide each side by '7'. B = -0.1428571429a + b Simplifying B = -0.1428571429a + b
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