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Simplifying 97 = -7(1 + -7b) + 3b 97 = (1 * -7 + -7b * -7) + 3b 97 = (-7 + 49b) + 3b Combine like terms: 49b + 3b = 52b 97 = -7 + 52b Solving 97 = -7 + 52b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-52b' to each side of the equation. 97 + -52b = -7 + 52b + -52b Combine like terms: 52b + -52b = 0 97 + -52b = -7 + 0 97 + -52b = -7 Add '-97' to each side of the equation. 97 + -97 + -52b = -7 + -97 Combine like terms: 97 + -97 = 0 0 + -52b = -7 + -97 -52b = -7 + -97 Combine like terms: -7 + -97 = -104 -52b = -104 Divide each side by '-52'. b = 2 Simplifying b = 2
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