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Simplifying b + -47 = -1b + -9 Reorder the terms: -47 + b = -1b + -9 Reorder the terms: -47 + b = -9 + -1b Solving -47 + b = -9 + -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. -47 + b + b = -9 + -1b + b Combine like terms: b + b = 2b -47 + 2b = -9 + -1b + b Combine like terms: -1b + b = 0 -47 + 2b = -9 + 0 -47 + 2b = -9 Add '47' to each side of the equation. -47 + 47 + 2b = -9 + 47 Combine like terms: -47 + 47 = 0 0 + 2b = -9 + 47 2b = -9 + 47 Combine like terms: -9 + 47 = 38 2b = 38 Divide each side by '2'. b = 19 Simplifying b = 19
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