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Simplifying 2(4b + 2) = 4(b + -7) Reorder the terms: 2(2 + 4b) = 4(b + -7) (2 * 2 + 4b * 2) = 4(b + -7) (4 + 8b) = 4(b + -7) Reorder the terms: 4 + 8b = 4(-7 + b) 4 + 8b = (-7 * 4 + b * 4) 4 + 8b = (-28 + 4b) Solving 4 + 8b = -28 + 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. 4 + 8b + -4b = -28 + 4b + -4b Combine like terms: 8b + -4b = 4b 4 + 4b = -28 + 4b + -4b Combine like terms: 4b + -4b = 0 4 + 4b = -28 + 0 4 + 4b = -28 Add '-4' to each side of the equation. 4 + -4 + 4b = -28 + -4 Combine like terms: 4 + -4 = 0 0 + 4b = -28 + -4 4b = -28 + -4 Combine like terms: -28 + -4 = -32 4b = -32 Divide each side by '4'. b = -8 Simplifying b = -8
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