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Simplifying 3(b + 4) + b = 6(3 + b) Reorder the terms: 3(4 + b) + b = 6(3 + b) (4 * 3 + b * 3) + b = 6(3 + b) (12 + 3b) + b = 6(3 + b) Combine like terms: 3b + b = 4b 12 + 4b = 6(3 + b) 12 + 4b = (3 * 6 + b * 6) 12 + 4b = (18 + 6b) Solving 12 + 4b = 18 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 12 + 4b + -6b = 18 + 6b + -6b Combine like terms: 4b + -6b = -2b 12 + -2b = 18 + 6b + -6b Combine like terms: 6b + -6b = 0 12 + -2b = 18 + 0 12 + -2b = 18 Add '-12' to each side of the equation. 12 + -12 + -2b = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -2b = 18 + -12 -2b = 18 + -12 Combine like terms: 18 + -12 = 6 -2b = 6 Divide each side by '-2'. b = -3 Simplifying b = -3
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