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Simplifying b + 4 + -3b = 2b + 7 + -1b Reorder the terms: 4 + b + -3b = 2b + 7 + -1b Combine like terms: b + -3b = -2b 4 + -2b = 2b + 7 + -1b Reorder the terms: 4 + -2b = 7 + 2b + -1b Combine like terms: 2b + -1b = 1b 4 + -2b = 7 + 1b Solving 4 + -2b = 7 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 4 + -2b + -1b = 7 + 1b + -1b Combine like terms: -2b + -1b = -3b 4 + -3b = 7 + 1b + -1b Combine like terms: 1b + -1b = 0 4 + -3b = 7 + 0 4 + -3b = 7 Add '-4' to each side of the equation. 4 + -4 + -3b = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3b = 7 + -4 -3b = 7 + -4 Combine like terms: 7 + -4 = 3 -3b = 3 Divide each side by '-3'. b = -1 Simplifying b = -1
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