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Simplifying b + -7 = 3b + 9 + -1b + -2 Reorder the terms: -7 + b = 3b + 9 + -1b + -2 Reorder the terms: -7 + b = 9 + -2 + 3b + -1b Combine like terms: 9 + -2 = 7 -7 + b = 7 + 3b + -1b Combine like terms: 3b + -1b = 2b -7 + b = 7 + 2b Solving -7 + b = 7 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -7 + b + -2b = 7 + 2b + -2b Combine like terms: b + -2b = -1b -7 + -1b = 7 + 2b + -2b Combine like terms: 2b + -2b = 0 -7 + -1b = 7 + 0 -7 + -1b = 7 Add '7' to each side of the equation. -7 + 7 + -1b = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -1b = 7 + 7 -1b = 7 + 7 Combine like terms: 7 + 7 = 14 -1b = 14 Divide each side by '-1'. b = -14 Simplifying b = -14
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