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Simplifying -35 + -8b = -8b + -5(6b + -5) Reorder the terms: -35 + -8b = -8b + -5(-5 + 6b) -35 + -8b = -8b + (-5 * -5 + 6b * -5) -35 + -8b = -8b + (25 + -30b) Reorder the terms: -35 + -8b = 25 + -8b + -30b Combine like terms: -8b + -30b = -38b -35 + -8b = 25 + -38b Solving -35 + -8b = 25 + -38b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38b' to each side of the equation. -35 + -8b + 38b = 25 + -38b + 38b Combine like terms: -8b + 38b = 30b -35 + 30b = 25 + -38b + 38b Combine like terms: -38b + 38b = 0 -35 + 30b = 25 + 0 -35 + 30b = 25 Add '35' to each side of the equation. -35 + 35 + 30b = 25 + 35 Combine like terms: -35 + 35 = 0 0 + 30b = 25 + 35 30b = 25 + 35 Combine like terms: 25 + 35 = 60 30b = 60 Divide each side by '30'. b = 2 Simplifying b = 2
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