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Simplifying -6b + 9 = 4b + -41 Reorder the terms: 9 + -6b = 4b + -41 Reorder the terms: 9 + -6b = -41 + 4b Solving 9 + -6b = -41 + 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 = -41 + 4b + -4b Combine like terms: -6b + -4b = -10b 9 + -10b = -41 + 4b + -4b Combine like terms: 4b + -4b = 0 9 + -10b = -41 + 0 9 + -10b = -41 Add '-9' to each side of the equation. 9 + -9 + -10b = -41 + -9 Combine like terms: 9 + -9 = 0 0 + -10b = -41 + -9 -10b = -41 + -9 Combine like terms: -41 + -9 = -50 -10b = -50 Divide each side by '-10'. b = 5 Simplifying b = 5
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