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Simplifying B + 5 = 7[(5b + -42) + -5] Reorder the terms: 5 + B = 7[(5b + -42) + -5] Reorder the terms: 5 + B = 7[(-42 + 5b) + -5] Remove parenthesis around (-42 + 5b) 5 + B = 7[-42 + 5b + -5] Reorder the terms: 5 + B = 7[-42 + -5 + 5b] Combine like terms: -42 + -5 = -47 5 + B = 7[-47 + 5b] 5 + B = [-47 * 7 + 5b * 7] 5 + B = [-329 + 35b] Solving 5 + B = -329 + 35b Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + B = -329 + -5 + 35b Combine like terms: 5 + -5 = 0 0 + B = -329 + -5 + 35b B = -329 + -5 + 35b Combine like terms: -329 + -5 = -334 B = -334 + 35b Simplifying B = -334 + 35b
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