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Simplifying 2(b2 + -8) = 2b(b + 4) Reorder the terms: 2(-8 + b2) = 2b(b + 4) (-8 * 2 + b2 * 2) = 2b(b + 4) (-16 + 2b2) = 2b(b + 4) Reorder the terms: -16 + 2b2 = 2b(4 + b) -16 + 2b2 = (4 * 2b + b * 2b) -16 + 2b2 = (8b + 2b2) Add '-2b2' to each side of the equation. -16 + 2b2 + -2b2 = 8b + 2b2 + -2b2 Combine like terms: 2b2 + -2b2 = 0 -16 + 0 = 8b + 2b2 + -2b2 -16 = 8b + 2b2 + -2b2 Combine like terms: 2b2 + -2b2 = 0 -16 = 8b + 0 -16 = 8b Solving -16 = 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. -16 + -8b = 8b + -8b Combine like terms: 8b + -8b = 0 -16 + -8b = 0 Add '16' to each side of the equation. -16 + 16 + -8b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8b = 0 + 16 -8b = 0 + 16 Combine like terms: 0 + 16 = 16 -8b = 16 Divide each side by '-8'. b = -2 Simplifying b = -2
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