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Simplifying -47 = 9b + -11 + 3b Reorder the terms: -47 = -11 + 9b + 3b Combine like terms: 9b + 3b = 12b -47 = -11 + 12b Solving -47 = -11 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -47 + -12b = -11 + 12b + -12b Combine like terms: 12b + -12b = 0 -47 + -12b = -11 + 0 -47 + -12b = -11 Add '47' to each side of the equation. -47 + 47 + -12b = -11 + 47 Combine like terms: -47 + 47 = 0 0 + -12b = -11 + 47 -12b = -11 + 47 Combine like terms: -11 + 47 = 36 -12b = 36 Divide each side by '-12'. b = -3 Simplifying b = -3
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