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Simplifying -2 + 4(-2b + 4) = -6(b + -4) Reorder the terms: -2 + 4(4 + -2b) = -6(b + -4) -2 + (4 * 4 + -2b * 4) = -6(b + -4) -2 + (16 + -8b) = -6(b + -4) Combine like terms: -2 + 16 = 14 14 + -8b = -6(b + -4) Reorder the terms: 14 + -8b = -6(-4 + b) 14 + -8b = (-4 * -6 + b * -6) 14 + -8b = (24 + -6b) Solving 14 + -8b = 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. 14 + -8b + 6b = 24 + -6b + 6b Combine like terms: -8b + 6b = -2b 14 + -2b = 24 + -6b + 6b Combine like terms: -6b + 6b = 0 14 + -2b = 24 + 0 14 + -2b = 24 Add '-14' to each side of the equation. 14 + -14 + -2b = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -2b = 24 + -14 -2b = 24 + -14 Combine like terms: 24 + -14 = 10 -2b = 10 Divide each side by '-2'. b = -5 Simplifying b = -5
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