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Simplifying B + 2(b + 5) = 3(b + -1) + 13 Reorder the terms: B + 2(5 + b) = 3(b + -1) + 13 B + (5 * 2 + b * 2) = 3(b + -1) + 13 B + (10 + 2b) = 3(b + -1) + 13 Reorder the terms: 10 + B + 2b = 3(b + -1) + 13 Reorder the terms: 10 + B + 2b = 3(-1 + b) + 13 10 + B + 2b = (-1 * 3 + b * 3) + 13 10 + B + 2b = (-3 + 3b) + 13 Reorder the terms: 10 + B + 2b = -3 + 13 + 3b Combine like terms: -3 + 13 = 10 10 + B + 2b = 10 + 3b Add '-10' to each side of the equation. 10 + B + -10 + 2b = 10 + -10 + 3b Reorder the terms: 10 + -10 + B + 2b = 10 + -10 + 3b Combine like terms: 10 + -10 = 0 0 + B + 2b = 10 + -10 + 3b B + 2b = 10 + -10 + 3b Combine like terms: 10 + -10 = 0 B + 2b = 0 + 3b B + 2b = 3b Solving B + 2b = 3b Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-2b' to each side of the equation. B + 2b + -2b = 3b + -2b Combine like terms: 2b + -2b = 0 B + 0 = 3b + -2b B = 3b + -2b Combine like terms: 3b + -2b = 1b B = 1b Simplifying B = 1b
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