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Simplifying -1b + -5 + 8b = 2 + 3b + 9 Reorder the terms: -5 + -1b + 8b = 2 + 3b + 9 Combine like terms: -1b + 8b = 7b -5 + 7b = 2 + 3b + 9 Reorder the terms: -5 + 7b = 2 + 9 + 3b Combine like terms: 2 + 9 = 11 -5 + 7b = 11 + 3b Solving -5 + 7b = 11 + 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. -5 + 7b + -3b = 11 + 3b + -3b Combine like terms: 7b + -3b = 4b -5 + 4b = 11 + 3b + -3b Combine like terms: 3b + -3b = 0 -5 + 4b = 11 + 0 -5 + 4b = 11 Add '5' to each side of the equation. -5 + 5 + 4b = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 4b = 11 + 5 4b = 11 + 5 Combine like terms: 11 + 5 = 16 4b = 16 Divide each side by '4'. b = 4 Simplifying b = 4
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