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Simplifying 4(b + 3) = 2(b + 4) Reorder the terms: 4(3 + b) = 2(b + 4) (3 * 4 + b * 4) = 2(b + 4) (12 + 4b) = 2(b + 4) Reorder the terms: 12 + 4b = 2(4 + b) 12 + 4b = (4 * 2 + b * 2) 12 + 4b = (8 + 2b) Solving 12 + 4b = 8 + 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 + 4b + -2b = 8 + 2b + -2b Combine like terms: 4b + -2b = 2b 12 + 2b = 8 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 2b = 8 + 0 12 + 2b = 8 Add '-12' to each side of the equation. 12 + -12 + 2b = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 8 + -12 2b = 8 + -12 Combine like terms: 8 + -12 = -4 2b = -4 Divide each side by '2'. b = -2 Simplifying b = -2
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