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Simplifying 2(b + 6) = 4 + 3b Reorder the terms: 2(6 + b) = 4 + 3b (6 * 2 + b * 2) = 4 + 3b (12 + 2b) = 4 + 3b Solving 12 + 2b = 4 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 12 + 2b + -3b = 4 + 3b + -3b Combine like terms: 2b + -3b = -1b 12 + -1b = 4 + 3b + -3b Combine like terms: 3b + -3b = 0 12 + -1b = 4 + 0 12 + -1b = 4 Add '-12' to each side of the equation. 12 + -12 + -1b = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = 4 + -12 -1b = 4 + -12 Combine like terms: 4 + -12 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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