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Simplifying -2 + 13 = 3b + -8 + -2b Combine like terms: -2 + 13 = 11 11 = 3b + -8 + -2b Reorder the terms: 11 = -8 + 3b + -2b Combine like terms: 3b + -2b = 1b 11 = -8 + 1b Solving 11 = -8 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 11 + -1b = -8 + 1b + -1b Combine like terms: 1b + -1b = 0 11 + -1b = -8 + 0 11 + -1b = -8 Add '-11' to each side of the equation. 11 + -11 + -1b = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -1b = -8 + -11 -1b = -8 + -11 Combine like terms: -8 + -11 = -19 -1b = -19 Divide each side by '-1'. b = 19 Simplifying b = 19
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