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Simplifying 4(b + -6) = 71 + -2b Reorder the terms: 4(-6 + b) = 71 + -2b (-6 * 4 + b * 4) = 71 + -2b (-24 + 4b) = 71 + -2b Solving -24 + 4b = 71 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -24 + 4b + 2b = 71 + -2b + 2b Combine like terms: 4b + 2b = 6b -24 + 6b = 71 + -2b + 2b Combine like terms: -2b + 2b = 0 -24 + 6b = 71 + 0 -24 + 6b = 71 Add '24' to each side of the equation. -24 + 24 + 6b = 71 + 24 Combine like terms: -24 + 24 = 0 0 + 6b = 71 + 24 6b = 71 + 24 Combine like terms: 71 + 24 = 95 6b = 95 Divide each side by '6'. b = 15.83333333 Simplifying b = 15.83333333
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