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Simplifying 7 = 3b + 1 + -4b Reorder the terms: 7 = 1 + 3b + -4b Combine like terms: 3b + -4b = -1b 7 = 1 + -1b Solving 7 = 1 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 7 + b = 1 + -1b + b Combine like terms: -1b + b = 0 7 + b = 1 + 0 7 + b = 1 Add '-7' to each side of the equation. 7 + -7 + b = 1 + -7 Combine like terms: 7 + -7 = 0 0 + b = 1 + -7 b = 1 + -7 Combine like terms: 1 + -7 = -6 b = -6 Simplifying b = -6
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