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Simplifying -5(7 + -5b) = 7(b + -5) (7 * -5 + -5b * -5) = 7(b + -5) (-35 + 25b) = 7(b + -5) Reorder the terms: -35 + 25b = 7(-5 + b) -35 + 25b = (-5 * 7 + b * 7) -35 + 25b = (-35 + 7b) Add '35' to each side of the equation. -35 + 35 + 25b = -35 + 35 + 7b Combine like terms: -35 + 35 = 0 0 + 25b = -35 + 35 + 7b 25b = -35 + 35 + 7b Combine like terms: -35 + 35 = 0 25b = 0 + 7b 25b = 7b Solving 25b = 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. 25b + -7b = 7b + -7b Combine like terms: 25b + -7b = 18b 18b = 7b + -7b Combine like terms: 7b + -7b = 0 18b = 0 Divide each side by '18'. b = 0 Simplifying b = 0
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