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Simplifying 8b + 2 + -1b + -9b = 4b + -3 + -1b + 10 Reorder the terms: 2 + 8b + -1b + -9b = 4b + -3 + -1b + 10 Combine like terms: 8b + -1b = 7b 2 + 7b + -9b = 4b + -3 + -1b + 10 Combine like terms: 7b + -9b = -2b 2 + -2b = 4b + -3 + -1b + 10 Reorder the terms: 2 + -2b = -3 + 10 + 4b + -1b Combine like terms: -3 + 10 = 7 2 + -2b = 7 + 4b + -1b Combine like terms: 4b + -1b = 3b 2 + -2b = 7 + 3b Solving 2 + -2b = 7 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 2 + -2b + -3b = 7 + 3b + -3b Combine like terms: -2b + -3b = -5b 2 + -5b = 7 + 3b + -3b Combine like terms: 3b + -3b = 0 2 + -5b = 7 + 0 2 + -5b = 7 Add '-2' to each side of the equation. 2 + -2 + -5b = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5b = 7 + -2 -5b = 7 + -2 Combine like terms: 7 + -2 = 5 -5b = 5 Divide each side by '-5'. b = -1 Simplifying b = -1
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