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