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Simplifying 7b + 8 = 3b + 40 Reorder the terms: 8 + 7b = 3b + 40 Reorder the terms: 8 + 7b = 40 + 3b Solving 8 + 7b = 40 + 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. 8 + 7b + -3b = 40 + 3b + -3b Combine like terms: 7b + -3b = 4b 8 + 4b = 40 + 3b + -3b Combine like terms: 3b + -3b = 0 8 + 4b = 40 + 0 8 + 4b = 40 Add '-8' to each side of the equation. 8 + -8 + 4b = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 4b = 40 + -8 4b = 40 + -8 Combine like terms: 40 + -8 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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