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