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Simplifying B + 4 + -12 = 4(2 + 11b) + 9(8 + -6b) Reorder the terms: 4 + -12 + B = 4(2 + 11b) + 9(8 + -6b) Combine like terms: 4 + -12 = -8 -8 + B = 4(2 + 11b) + 9(8 + -6b) -8 + B = (2 * 4 + 11b * 4) + 9(8 + -6b) -8 + B = (8 + 44b) + 9(8 + -6b) -8 + B = 8 + 44b + (8 * 9 + -6b * 9) -8 + B = 8 + 44b + (72 + -54b) Reorder the terms: -8 + B = 8 + 72 + 44b + -54b Combine like terms: 8 + 72 = 80 -8 + B = 80 + 44b + -54b Combine like terms: 44b + -54b = -10b -8 + B = 80 + -10b Solving -8 + B = 80 + -10b Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + B = 80 + 8 + -10b Combine like terms: -8 + 8 = 0 0 + B = 80 + 8 + -10b B = 80 + 8 + -10b Combine like terms: 80 + 8 = 88 B = 88 + -10b Simplifying B = 88 + -10b
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