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Simplifying -7b + 11 = -1(b + -5) Reorder the terms: 11 + -7b = -1(b + -5) Reorder the terms: 11 + -7b = -1(-5 + b) 11 + -7b = (-5 * -1 + b * -1) 11 + -7b = (5 + -1b) Solving 11 + -7b = 5 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 11 + -7b + b = 5 + -1b + b Combine like terms: -7b + b = -6b 11 + -6b = 5 + -1b + b Combine like terms: -1b + b = 0 11 + -6b = 5 + 0 11 + -6b = 5 Add '-11' to each side of the equation. 11 + -11 + -6b = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -6b = 5 + -11 -6b = 5 + -11 Combine like terms: 5 + -11 = -6 -6b = -6 Divide each side by '-6'. b = 1 Simplifying b = 1
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