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Simplifying 5(2b + 2) + 7b = -2(b + -5) Reorder the terms: 5(2 + 2b) + 7b = -2(b + -5) (2 * 5 + 2b * 5) + 7b = -2(b + -5) (10 + 10b) + 7b = -2(b + -5) Combine like terms: 10b + 7b = 17b 10 + 17b = -2(b + -5) Reorder the terms: 10 + 17b = -2(-5 + b) 10 + 17b = (-5 * -2 + b * -2) 10 + 17b = (10 + -2b) Add '-10' to each side of the equation. 10 + -10 + 17b = 10 + -10 + -2b Combine like terms: 10 + -10 = 0 0 + 17b = 10 + -10 + -2b 17b = 10 + -10 + -2b Combine like terms: 10 + -10 = 0 17b = 0 + -2b 17b = -2b Solving 17b = -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 17b + 2b = -2b + 2b Combine like terms: 17b + 2b = 19b 19b = -2b + 2b Combine like terms: -2b + 2b = 0 19b = 0 Divide each side by '19'. b = 0 Simplifying b = 0
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