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Simplifying 3(6b + 8) = 4 + 6b Reorder the terms: 3(8 + 6b) = 4 + 6b (8 * 3 + 6b * 3) = 4 + 6b (24 + 18b) = 4 + 6b Solving 24 + 18b = 4 + 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. 24 + 18b + -6b = 4 + 6b + -6b Combine like terms: 18b + -6b = 12b 24 + 12b = 4 + 6b + -6b Combine like terms: 6b + -6b = 0 24 + 12b = 4 + 0 24 + 12b = 4 Add '-24' to each side of the equation. 24 + -24 + 12b = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 12b = 4 + -24 12b = 4 + -24 Combine like terms: 4 + -24 = -20 12b = -20 Divide each side by '12'. b = -1.666666667 Simplifying b = -1.666666667
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