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Simplifying 7(b + 3) = 13b + 2 Reorder the terms: 7(3 + b) = 13b + 2 (3 * 7 + b * 7) = 13b + 2 (21 + 7b) = 13b + 2 Reorder the terms: 21 + 7b = 2 + 13b Solving 21 + 7b = 2 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. 21 + 7b + -13b = 2 + 13b + -13b Combine like terms: 7b + -13b = -6b 21 + -6b = 2 + 13b + -13b Combine like terms: 13b + -13b = 0 21 + -6b = 2 + 0 21 + -6b = 2 Add '-21' to each side of the equation. 21 + -21 + -6b = 2 + -21 Combine like terms: 21 + -21 = 0 0 + -6b = 2 + -21 -6b = 2 + -21 Combine like terms: 2 + -21 = -19 -6b = -19 Divide each side by '-6'. b = 3.166666667 Simplifying b = 3.166666667
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