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Simplifying 3(b + 7) = 2(7b + 3) Reorder the terms: 3(7 + b) = 2(7b + 3) (7 * 3 + b * 3) = 2(7b + 3) (21 + 3b) = 2(7b + 3) Reorder the terms: 21 + 3b = 2(3 + 7b) 21 + 3b = (3 * 2 + 7b * 2) 21 + 3b = (6 + 14b) Solving 21 + 3b = 6 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 21 + 3b + -14b = 6 + 14b + -14b Combine like terms: 3b + -14b = -11b 21 + -11b = 6 + 14b + -14b Combine like terms: 14b + -14b = 0 21 + -11b = 6 + 0 21 + -11b = 6 Add '-21' to each side of the equation. 21 + -21 + -11b = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -11b = 6 + -21 -11b = 6 + -21 Combine like terms: 6 + -21 = -15 -11b = -15 Divide each side by '-11'. b = 1.363636364 Simplifying b = 1.363636364
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