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Simplifying 105 + 2B = 175 + -3B Solving 105 + 2B = 175 + -3B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '3B' to each side of the equation. 105 + 2B + 3B = 175 + -3B + 3B Combine like terms: 2B + 3B = 5B 105 + 5B = 175 + -3B + 3B Combine like terms: -3B + 3B = 0 105 + 5B = 175 + 0 105 + 5B = 175 Add '-105' to each side of the equation. 105 + -105 + 5B = 175 + -105 Combine like terms: 105 + -105 = 0 0 + 5B = 175 + -105 5B = 175 + -105 Combine like terms: 175 + -105 = 70 5B = 70 Divide each side by '5'. B = 14 Simplifying B = 14
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