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Simplifying -2b + -5(-3b + -10) = -5(-7b + -10) Reorder the terms: -2b + -5(-10 + -3b) = -5(-7b + -10) -2b + (-10 * -5 + -3b * -5) = -5(-7b + -10) -2b + (50 + 15b) = -5(-7b + -10) Reorder the terms: 50 + -2b + 15b = -5(-7b + -10) Combine like terms: -2b + 15b = 13b 50 + 13b = -5(-7b + -10) Reorder the terms: 50 + 13b = -5(-10 + -7b) 50 + 13b = (-10 * -5 + -7b * -5) 50 + 13b = (50 + 35b) Add '-50' to each side of the equation. 50 + -50 + 13b = 50 + -50 + 35b Combine like terms: 50 + -50 = 0 0 + 13b = 50 + -50 + 35b 13b = 50 + -50 + 35b Combine like terms: 50 + -50 = 0 13b = 0 + 35b 13b = 35b Solving 13b = 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. 13b + -35b = 35b + -35b Combine like terms: 13b + -35b = -22b -22b = 35b + -35b Combine like terms: 35b + -35b = 0 -22b = 0 Divide each side by '-22'. b = 0 Simplifying b = 0
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