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Simplifying 6(1 + 2b) = 6b + -24 (1 * 6 + 2b * 6) = 6b + -24 (6 + 12b) = 6b + -24 Reorder the terms: 6 + 12b = -24 + 6b Solving 6 + 12b = -24 + 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. 6 + 12b + -6b = -24 + 6b + -6b Combine like terms: 12b + -6b = 6b 6 + 6b = -24 + 6b + -6b Combine like terms: 6b + -6b = 0 6 + 6b = -24 + 0 6 + 6b = -24 Add '-6' to each side of the equation. 6 + -6 + 6b = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 6b = -24 + -6 6b = -24 + -6 Combine like terms: -24 + -6 = -30 6b = -30 Divide each side by '6'. b = -5 Simplifying b = -5
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