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Simplifying 7(b + 7) = 9(-9) Reorder the terms: 7(7 + b) = 9(-9) (7 * 7 + b * 7) = 9(-9) (49 + 7b) = 9(-9) Multiply 9 * -9 49 + 7b = -81 Solving 49 + 7b = -81 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 7b = -81 + -49 Combine like terms: 49 + -49 = 0 0 + 7b = -81 + -49 7b = -81 + -49 Combine like terms: -81 + -49 = -130 7b = -130 Divide each side by '7'. b = -18.57142857 Simplifying b = -18.57142857
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