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Simplifying 91 = -7 + 7(b + 7) Reorder the terms: 91 = -7 + 7(7 + b) 91 = -7 + (7 * 7 + b * 7) 91 = -7 + (49 + 7b) Combine like terms: -7 + 49 = 42 91 = 42 + 7b Solving 91 = 42 + 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 = 42 + 7b + -7b Combine like terms: 7b + -7b = 0 91 + -7b = 42 + 0 91 + -7b = 42 Add '-91' to each side of the equation. 91 + -91 + -7b = 42 + -91 Combine like terms: 91 + -91 = 0 0 + -7b = 42 + -91 -7b = 42 + -91 Combine like terms: 42 + -91 = -49 -7b = -49 Divide each side by '-7'. b = 7 Simplifying b = 7
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