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Simplifying b + 8 + 3b + 4 = 40 + -4 Reorder the terms: 8 + 4 + b + 3b = 40 + -4 Combine like terms: 8 + 4 = 12 12 + b + 3b = 40 + -4 Combine like terms: b + 3b = 4b 12 + 4b = 40 + -4 Combine like terms: 40 + -4 = 36 12 + 4b = 36 Solving 12 + 4b = 36 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 + 4b = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 4b = 36 + -12 4b = 36 + -12 Combine like terms: 36 + -12 = 24 4b = 24 Divide each side by '4'. b = 6 Simplifying b = 6
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