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Simplifying -6(-2 + -1b) = 2(6b + 12) (-2 * -6 + -1b * -6) = 2(6b + 12) (12 + 6b) = 2(6b + 12) Reorder the terms: 12 + 6b = 2(12 + 6b) 12 + 6b = (12 * 2 + 6b * 2) 12 + 6b = (24 + 12b) Solving 12 + 6b = 24 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 12 + 6b + -12b = 24 + 12b + -12b Combine like terms: 6b + -12b = -6b 12 + -6b = 24 + 12b + -12b Combine like terms: 12b + -12b = 0 12 + -6b = 24 + 0 12 + -6b = 24 Add '-12' to each side of the equation. 12 + -12 + -6b = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -6b = 24 + -12 -6b = 24 + -12 Combine like terms: 24 + -12 = 12 -6b = 12 Divide each side by '-6'. b = -2 Simplifying b = -2
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