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Simplifying 3b + -6b + 35 = 15 + -2b Reorder the terms: 35 + 3b + -6b = 15 + -2b Combine like terms: 3b + -6b = -3b 35 + -3b = 15 + -2b Solving 35 + -3b = 15 + -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 + -3b + 2b = 15 + -2b + 2b Combine like terms: -3b + 2b = -1b 35 + -1b = 15 + -2b + 2b Combine like terms: -2b + 2b = 0 35 + -1b = 15 + 0 35 + -1b = 15 Add '-35' to each side of the equation. 35 + -35 + -1b = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -1b = 15 + -35 -1b = 15 + -35 Combine like terms: 15 + -35 = -20 -1b = -20 Divide each side by '-1'. b = 20 Simplifying b = 20
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