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Simplifying 4b + 6b + 12 = 32 + -40 Reorder the terms: 12 + 4b + 6b = 32 + -40 Combine like terms: 4b + 6b = 10b 12 + 10b = 32 + -40 Combine like terms: 32 + -40 = -8 12 + 10b = -8 Solving 12 + 10b = -8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10b = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 10b = -8 + -12 10b = -8 + -12 Combine like terms: -8 + -12 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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