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Simplifying b + 7 = 12 + 6b Reorder the terms: 7 + b = 12 + 6b Solving 7 + b = 12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 7 + b + -6b = 12 + 6b + -6b Combine like terms: b + -6b = -5b 7 + -5b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 7 + -5b = 12 + 0 7 + -5b = 12 Add '-7' to each side of the equation. 7 + -7 + -5b = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -5b = 12 + -7 -5b = 12 + -7 Combine like terms: 12 + -7 = 5 -5b = 5 Divide each side by '-5'. b = -1 Simplifying b = -1
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