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Simplifying b + 1 + -3b = 4 + 6b + -7b Reorder the terms: 1 + b + -3b = 4 + 6b + -7b Combine like terms: b + -3b = -2b 1 + -2b = 4 + 6b + -7b Combine like terms: 6b + -7b = -1b 1 + -2b = 4 + -1b Solving 1 + -2b = 4 + -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. 1 + -2b + b = 4 + -1b + b Combine like terms: -2b + b = -1b 1 + -1b = 4 + -1b + b Combine like terms: -1b + b = 0 1 + -1b = 4 + 0 1 + -1b = 4 Add '-1' to each side of the equation. 1 + -1 + -1b = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 4 + -1 -1b = 4 + -1 Combine like terms: 4 + -1 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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