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Simplifying -7(-7 + b) = 22 + 2b (-7 * -7 + b * -7) = 22 + 2b (49 + -7b) = 22 + 2b Solving 49 + -7b = 22 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 49 + -7b + -2b = 22 + 2b + -2b Combine like terms: -7b + -2b = -9b 49 + -9b = 22 + 2b + -2b Combine like terms: 2b + -2b = 0 49 + -9b = 22 + 0 49 + -9b = 22 Add '-49' to each side of the equation. 49 + -49 + -9b = 22 + -49 Combine like terms: 49 + -49 = 0 0 + -9b = 22 + -49 -9b = 22 + -49 Combine like terms: 22 + -49 = -27 -9b = -27 Divide each side by '-9'. b = 3 Simplifying b = 3
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