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Simplifying B + -1(5 + -3b) + (b + -1) = -6 B + (5 * -1 + -3b * -1) + (b + -1) = -6 B + (-5 + 3b) + (b + -1) = -6 Reorder the terms: B + -5 + 3b + (-1 + b) = -6 Remove parenthesis around (-1 + b) B + -5 + 3b + -1 + b = -6 Reorder the terms: -5 + -1 + B + 3b + b = -6 Combine like terms: -5 + -1 = -6 -6 + B + 3b + b = -6 Combine like terms: 3b + b = 4b -6 + B + 4b = -6 Add '6' to each side of the equation. -6 + B + 6 + 4b = -6 + 6 Reorder the terms: -6 + 6 + B + 4b = -6 + 6 Combine like terms: -6 + 6 = 0 0 + B + 4b = -6 + 6 B + 4b = -6 + 6 Combine like terms: -6 + 6 = 0 B + 4b = 0 Solving B + 4b = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-4b' to each side of the equation. B + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 B + 0 = 0 + -4b B = 0 + -4b Remove the zero: B = -4b Simplifying B = -4b
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