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Simplifying 2(b + -5) = -40 + 7b Reorder the terms: 2(-5 + b) = -40 + 7b (-5 * 2 + b * 2) = -40 + 7b (-10 + 2b) = -40 + 7b Solving -10 + 2b = -40 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -10 + 2b + -7b = -40 + 7b + -7b Combine like terms: 2b + -7b = -5b -10 + -5b = -40 + 7b + -7b Combine like terms: 7b + -7b = 0 -10 + -5b = -40 + 0 -10 + -5b = -40 Add '10' to each side of the equation. -10 + 10 + -5b = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -5b = -40 + 10 -5b = -40 + 10 Combine like terms: -40 + 10 = -30 -5b = -30 Divide each side by '-5'. b = 6 Simplifying b = 6
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