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Simplifying b + 43 + 5b + -50 = 4b + 31 Reorder the terms: 43 + -50 + b + 5b = 4b + 31 Combine like terms: 43 + -50 = -7 -7 + b + 5b = 4b + 31 Combine like terms: b + 5b = 6b -7 + 6b = 4b + 31 Reorder the terms: -7 + 6b = 31 + 4b Solving -7 + 6b = 31 + 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. -7 + 6b + -4b = 31 + 4b + -4b Combine like terms: 6b + -4b = 2b -7 + 2b = 31 + 4b + -4b Combine like terms: 4b + -4b = 0 -7 + 2b = 31 + 0 -7 + 2b = 31 Add '7' to each side of the equation. -7 + 7 + 2b = 31 + 7 Combine like terms: -7 + 7 = 0 0 + 2b = 31 + 7 2b = 31 + 7 Combine like terms: 31 + 7 = 38 2b = 38 Divide each side by '2'. b = 19 Simplifying b = 19
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