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