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Simplifying 35 + 2b = 71 + -2b Solving 35 + 2b = 71 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 35 + 2b + 2b = 71 + -2b + 2b Combine like terms: 2b + 2b = 4b 35 + 4b = 71 + -2b + 2b Combine like terms: -2b + 2b = 0 35 + 4b = 71 + 0 35 + 4b = 71 Add '-35' to each side of the equation. 35 + -35 + 4b = 71 + -35 Combine like terms: 35 + -35 = 0 0 + 4b = 71 + -35 4b = 71 + -35 Combine like terms: 71 + -35 = 36 4b = 36 Divide each side by '4'. b = 9 Simplifying b = 9
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