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Simplifying B + 4 + -5b = 2(b + 4) + -4(1 + -3b) Reorder the terms: 4 + B + -5b = 2(b + 4) + -4(1 + -3b) Reorder the terms: 4 + B + -5b = 2(4 + b) + -4(1 + -3b) 4 + B + -5b = (4 * 2 + b * 2) + -4(1 + -3b) 4 + B + -5b = (8 + 2b) + -4(1 + -3b) 4 + B + -5b = 8 + 2b + (1 * -4 + -3b * -4) 4 + B + -5b = 8 + 2b + (-4 + 12b) Reorder the terms: 4 + B + -5b = 8 + -4 + 2b + 12b Combine like terms: 8 + -4 = 4 4 + B + -5b = 4 + 2b + 12b Combine like terms: 2b + 12b = 14b 4 + B + -5b = 4 + 14b Add '-4' to each side of the equation. 4 + B + -4 + -5b = 4 + -4 + 14b Reorder the terms: 4 + -4 + B + -5b = 4 + -4 + 14b Combine like terms: 4 + -4 = 0 0 + B + -5b = 4 + -4 + 14b B + -5b = 4 + -4 + 14b Combine like terms: 4 + -4 = 0 B + -5b = 0 + 14b B + -5b = 14b Solving B + -5b = 14b Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '5b' to each side of the equation. B + -5b + 5b = 14b + 5b Combine like terms: -5b + 5b = 0 B + 0 = 14b + 5b B = 14b + 5b Combine like terms: 14b + 5b = 19b B = 19b Simplifying B = 19b
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