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Simplifying 5(2 + -7b) = 5(b + 10) (2 * 5 + -7b * 5) = 5(b + 10) (10 + -35b) = 5(b + 10) Reorder the terms: 10 + -35b = 5(10 + b) 10 + -35b = (10 * 5 + b * 5) 10 + -35b = (50 + 5b) Solving 10 + -35b = 50 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 10 + -35b + -5b = 50 + 5b + -5b Combine like terms: -35b + -5b = -40b 10 + -40b = 50 + 5b + -5b Combine like terms: 5b + -5b = 0 10 + -40b = 50 + 0 10 + -40b = 50 Add '-10' to each side of the equation. 10 + -10 + -40b = 50 + -10 Combine like terms: 10 + -10 = 0 0 + -40b = 50 + -10 -40b = 50 + -10 Combine like terms: 50 + -10 = 40 -40b = 40 Divide each side by '-40'. b = -1 Simplifying b = -1
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