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Simplifying b + 2.35 = 9.78 + 7b + 7.22 Reorder the terms: 2.35 + b = 9.78 + 7b + 7.22 Reorder the terms: 2.35 + b = 9.78 + 7.22 + 7b Combine like terms: 9.78 + 7.22 = 17 2.35 + b = 17 + 7b Solving 2.35 + b = 17 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 2.35 + b + -7b = 17 + 7b + -7b Combine like terms: b + -7b = -6b 2.35 + -6b = 17 + 7b + -7b Combine like terms: 7b + -7b = 0 2.35 + -6b = 17 + 0 2.35 + -6b = 17 Add '-2.35' to each side of the equation. 2.35 + -2.35 + -6b = 17 + -2.35 Combine like terms: 2.35 + -2.35 = 0.00 0.00 + -6b = 17 + -2.35 -6b = 17 + -2.35 Combine like terms: 17 + -2.35 = 14.65 -6b = 14.65 Divide each side by '-6'. b = -2.441666667 Simplifying b = -2.441666667
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