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