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Simplifying 3(2b + 6) = 2(2b + -4) Reorder the terms: 3(6 + 2b) = 2(2b + -4) (6 * 3 + 2b * 3) = 2(2b + -4) (18 + 6b) = 2(2b + -4) Reorder the terms: 18 + 6b = 2(-4 + 2b) 18 + 6b = (-4 * 2 + 2b * 2) 18 + 6b = (-8 + 4b) Solving 18 + 6b = -8 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 18 + 6b + -4b = -8 + 4b + -4b Combine like terms: 6b + -4b = 2b 18 + 2b = -8 + 4b + -4b Combine like terms: 4b + -4b = 0 18 + 2b = -8 + 0 18 + 2b = -8 Add '-18' to each side of the equation. 18 + -18 + 2b = -8 + -18 Combine like terms: 18 + -18 = 0 0 + 2b = -8 + -18 2b = -8 + -18 Combine like terms: -8 + -18 = -26 2b = -26 Divide each side by '2'. b = -13 Simplifying b = -13
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