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Simplifying 51 = 5b + 7 + -9b Reorder the terms: 51 = 7 + 5b + -9b Combine like terms: 5b + -9b = -4b 51 = 7 + -4b Solving 51 = 7 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 51 + 4b = 7 + -4b + 4b Combine like terms: -4b + 4b = 0 51 + 4b = 7 + 0 51 + 4b = 7 Add '-51' to each side of the equation. 51 + -51 + 4b = 7 + -51 Combine like terms: 51 + -51 = 0 0 + 4b = 7 + -51 4b = 7 + -51 Combine like terms: 7 + -51 = -44 4b = -44 Divide each side by '4'. b = -11 Simplifying b = -11
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