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Simplifying b + 46 + 40 = 10b + 30 Reorder the terms: 46 + 40 + b = 10b + 30 Combine like terms: 46 + 40 = 86 86 + b = 10b + 30 Reorder the terms: 86 + b = 30 + 10b Solving 86 + b = 30 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 86 + b + -10b = 30 + 10b + -10b Combine like terms: b + -10b = -9b 86 + -9b = 30 + 10b + -10b Combine like terms: 10b + -10b = 0 86 + -9b = 30 + 0 86 + -9b = 30 Add '-86' to each side of the equation. 86 + -86 + -9b = 30 + -86 Combine like terms: 86 + -86 = 0 0 + -9b = 30 + -86 -9b = 30 + -86 Combine like terms: 30 + -86 = -56 -9b = -56 Divide each side by '-9'. b = 6.222222222 Simplifying b = 6.222222222
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