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Simplifying 5b + 14 + 9 + -9b = -30 + 5 + 8b + -4b Reorder the terms: 14 + 9 + 5b + -9b = -30 + 5 + 8b + -4b Combine like terms: 14 + 9 = 23 23 + 5b + -9b = -30 + 5 + 8b + -4b Combine like terms: 5b + -9b = -4b 23 + -4b = -30 + 5 + 8b + -4b Combine like terms: -30 + 5 = -25 23 + -4b = -25 + 8b + -4b Combine like terms: 8b + -4b = 4b 23 + -4b = -25 + 4b Solving 23 + -4b = -25 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 23 + -4b + -4b = -25 + 4b + -4b Combine like terms: -4b + -4b = -8b 23 + -8b = -25 + 4b + -4b Combine like terms: 4b + -4b = 0 23 + -8b = -25 + 0 23 + -8b = -25 Add '-23' to each side of the equation. 23 + -23 + -8b = -25 + -23 Combine like terms: 23 + -23 = 0 0 + -8b = -25 + -23 -8b = -25 + -23 Combine like terms: -25 + -23 = -48 -8b = -48 Divide each side by '-8'. b = 6 Simplifying b = 6
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