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Simplifying -5(3 + -7b) = 8b + 39 (3 * -5 + -7b * -5) = 8b + 39 (-15 + 35b) = 8b + 39 Reorder the terms: -15 + 35b = 39 + 8b Solving -15 + 35b = 39 + 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. -15 + 35b + -8b = 39 + 8b + -8b Combine like terms: 35b + -8b = 27b -15 + 27b = 39 + 8b + -8b Combine like terms: 8b + -8b = 0 -15 + 27b = 39 + 0 -15 + 27b = 39 Add '15' to each side of the equation. -15 + 15 + 27b = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 27b = 39 + 15 27b = 39 + 15 Combine like terms: 39 + 15 = 54 27b = 54 Divide each side by '27'. b = 2 Simplifying b = 2
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