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Simplifying 6(b + 2) = 4 + 2b Reorder the terms: 6(2 + b) = 4 + 2b (2 * 6 + b * 6) = 4 + 2b (12 + 6b) = 4 + 2b Solving 12 + 6b = 4 + 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 + 6b + -2b = 4 + 2b + -2b Combine like terms: 6b + -2b = 4b 12 + 4b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 4b = 4 + 0 12 + 4b = 4 Add '-12' to each side of the equation. 12 + -12 + 4b = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4b = 4 + -12 4b = 4 + -12 Combine like terms: 4 + -12 = -8 4b = -8 Divide each side by '4'. b = -2 Simplifying b = -2
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