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Simplifying 3(b + 7) = 5(1 + b) Reorder the terms: 3(7 + b) = 5(1 + b) (7 * 3 + b * 3) = 5(1 + b) (21 + 3b) = 5(1 + b) 21 + 3b = (1 * 5 + b * 5) 21 + 3b = (5 + 5b) Solving 21 + 3b = 5 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 21 + 3b + -5b = 5 + 5b + -5b Combine like terms: 3b + -5b = -2b 21 + -2b = 5 + 5b + -5b Combine like terms: 5b + -5b = 0 21 + -2b = 5 + 0 21 + -2b = 5 Add '-21' to each side of the equation. 21 + -21 + -2b = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -2b = 5 + -21 -2b = 5 + -21 Combine like terms: 5 + -21 = -16 -2b = -16 Divide each side by '-2'. b = 8 Simplifying b = 8
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