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Simplifying -4(-2b + -2) = 6(b + 2) Reorder the terms: -4(-2 + -2b) = 6(b + 2) (-2 * -4 + -2b * -4) = 6(b + 2) (8 + 8b) = 6(b + 2) Reorder the terms: 8 + 8b = 6(2 + b) 8 + 8b = (2 * 6 + b * 6) 8 + 8b = (12 + 6b) Solving 8 + 8b = 12 + 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. 8 + 8b + -6b = 12 + 6b + -6b Combine like terms: 8b + -6b = 2b 8 + 2b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 8 + 2b = 12 + 0 8 + 2b = 12 Add '-8' to each side of the equation. 8 + -8 + 2b = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2b = 12 + -8 2b = 12 + -8 Combine like terms: 12 + -8 = 4 2b = 4 Divide each side by '2'. b = 2 Simplifying b = 2
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