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Simplifying 3(b + 4) = 2(b + 7) Reorder the terms: 3(4 + b) = 2(b + 7) (4 * 3 + b * 3) = 2(b + 7) (12 + 3b) = 2(b + 7) Reorder the terms: 12 + 3b = 2(7 + b) 12 + 3b = (7 * 2 + b * 2) 12 + 3b = (14 + 2b) Solving 12 + 3b = 14 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 12 + 3b + -2b = 14 + 2b + -2b Combine like terms: 3b + -2b = 1b 12 + 1b = 14 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 1b = 14 + 0 12 + 1b = 14 Add '-12' to each side of the equation. 12 + -12 + 1b = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 14 + -12 1b = 14 + -12 Combine like terms: 14 + -12 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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