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Simplifying 6b + 9 = -4b + 29 Reorder the terms: 9 + 6b = -4b + 29 Reorder the terms: 9 + 6b = 29 + -4b Solving 9 + 6b = 29 + -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. 9 + 6b + 4b = 29 + -4b + 4b Combine like terms: 6b + 4b = 10b 9 + 10b = 29 + -4b + 4b Combine like terms: -4b + 4b = 0 9 + 10b = 29 + 0 9 + 10b = 29 Add '-9' to each side of the equation. 9 + -9 + 10b = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 10b = 29 + -9 10b = 29 + -9 Combine like terms: 29 + -9 = 20 10b = 20 Divide each side by '10'. b = 2 Simplifying b = 2
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