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Simplifying b + 2 = 3b + -7 Reorder the terms: 2 + b = 3b + -7 Reorder the terms: 2 + b = -7 + 3b Solving 2 + b = -7 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 2 + b + -3b = -7 + 3b + -3b Combine like terms: b + -3b = -2b 2 + -2b = -7 + 3b + -3b Combine like terms: 3b + -3b = 0 2 + -2b = -7 + 0 2 + -2b = -7 Add '-2' to each side of the equation. 2 + -2 + -2b = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -2b = -7 + -2 -2b = -7 + -2 Combine like terms: -7 + -2 = -9 -2b = -9 Divide each side by '-2'. b = 4.5 Simplifying b = 4.5
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