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Simplifying -5B + -6 + 11B + -9 = -6 + 4B + 9 Reorder the terms: -6 + -9 + -5B + 11B = -6 + 4B + 9 Combine like terms: -6 + -9 = -15 -15 + -5B + 11B = -6 + 4B + 9 Combine like terms: -5B + 11B = 6B -15 + 6B = -6 + 4B + 9 Reorder the terms: -15 + 6B = -6 + 9 + 4B Combine like terms: -6 + 9 = 3 -15 + 6B = 3 + 4B Solving -15 + 6B = 3 + 4B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-4B' to each side of the equation. -15 + 6B + -4B = 3 + 4B + -4B Combine like terms: 6B + -4B = 2B -15 + 2B = 3 + 4B + -4B Combine like terms: 4B + -4B = 0 -15 + 2B = 3 + 0 -15 + 2B = 3 Add '15' to each side of the equation. -15 + 15 + 2B = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2B = 3 + 15 2B = 3 + 15 Combine like terms: 3 + 15 = 18 2B = 18 Divide each side by '2'. B = 9 Simplifying B = 9
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