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Simplifying 2(3b + 7) = -4(3 + -2b) Reorder the terms: 2(7 + 3b) = -4(3 + -2b) (7 * 2 + 3b * 2) = -4(3 + -2b) (14 + 6b) = -4(3 + -2b) 14 + 6b = (3 * -4 + -2b * -4) 14 + 6b = (-12 + 8b) Solving 14 + 6b = -12 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 14 + 6b + -8b = -12 + 8b + -8b Combine like terms: 6b + -8b = -2b 14 + -2b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 14 + -2b = -12 + 0 14 + -2b = -12 Add '-14' to each side of the equation. 14 + -14 + -2b = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2b = -12 + -14 -2b = -12 + -14 Combine like terms: -12 + -14 = -26 -2b = -26 Divide each side by '-2'. b = 13 Simplifying b = 13
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