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Simplifying -91 = -7(b + 7) Reorder the terms: -91 = -7(7 + b) -91 = (7 * -7 + b * -7) -91 = (-49 + -7b) Solving -91 = -49 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -91 + 7b = -49 + -7b + 7b Combine like terms: -7b + 7b = 0 -91 + 7b = -49 + 0 -91 + 7b = -49 Add '91' to each side of the equation. -91 + 91 + 7b = -49 + 91 Combine like terms: -91 + 91 = 0 0 + 7b = -49 + 91 7b = -49 + 91 Combine like terms: -49 + 91 = 42 7b = 42 Divide each side by '7'. b = 6 Simplifying b = 6
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