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Simplifying -2 + 9 = 3b + -1 + -2b Combine like terms: -2 + 9 = 7 7 = 3b + -1 + -2b Reorder the terms: 7 = -1 + 3b + -2b Combine like terms: 3b + -2b = 1b 7 = -1 + 1b Solving 7 = -1 + 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. 7 + -1b = -1 + 1b + -1b Combine like terms: 1b + -1b = 0 7 + -1b = -1 + 0 7 + -1b = -1 Add '-7' to each side of the equation. 7 + -7 + -1b = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = -1 + -7 -1b = -1 + -7 Combine like terms: -1 + -7 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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