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Simplifying B + 15(b + 2) = 15 + 2b + -9 Reorder the terms: B + 15(2 + b) = 15 + 2b + -9 B + (2 * 15 + b * 15) = 15 + 2b + -9 B + (30 + 15b) = 15 + 2b + -9 Reorder the terms: 30 + B + 15b = 15 + 2b + -9 Reorder the terms: 30 + B + 15b = 15 + -9 + 2b Combine like terms: 15 + -9 = 6 30 + B + 15b = 6 + 2b Solving 30 + B + 15b = 6 + 2b Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + B + -30 + 15b = 6 + -30 + 2b Reorder the terms: 30 + -30 + B + 15b = 6 + -30 + 2b Combine like terms: 30 + -30 = 0 0 + B + 15b = 6 + -30 + 2b B + 15b = 6 + -30 + 2b Combine like terms: 6 + -30 = -24 B + 15b = -24 + 2b Add '-15b' to each side of the equation. B + 15b + -15b = -24 + 2b + -15b Combine like terms: 15b + -15b = 0 B + 0 = -24 + 2b + -15b B = -24 + 2b + -15b Combine like terms: 2b + -15b = -13b B = -24 + -13b Simplifying B = -24 + -13b
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