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Simplifying 7(b + 3) = 4b + 2 Reorder the terms: 7(3 + b) = 4b + 2 (3 * 7 + b * 7) = 4b + 2 (21 + 7b) = 4b + 2 Reorder the terms: 21 + 7b = 2 + 4b Solving 21 + 7b = 2 + 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. 21 + 7b + -4b = 2 + 4b + -4b Combine like terms: 7b + -4b = 3b 21 + 3b = 2 + 4b + -4b Combine like terms: 4b + -4b = 0 21 + 3b = 2 + 0 21 + 3b = 2 Add '-21' to each side of the equation. 21 + -21 + 3b = 2 + -21 Combine like terms: 21 + -21 = 0 0 + 3b = 2 + -21 3b = 2 + -21 Combine like terms: 2 + -21 = -19 3b = -19 Divide each side by '3'. b = -6.333333333 Simplifying b = -6.333333333
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