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Simplifying -19b + 18 + 12b = -8 + 5(-5b + -20) Reorder the terms: 18 + -19b + 12b = -8 + 5(-5b + -20) Combine like terms: -19b + 12b = -7b 18 + -7b = -8 + 5(-5b + -20) Reorder the terms: 18 + -7b = -8 + 5(-20 + -5b) 18 + -7b = -8 + (-20 * 5 + -5b * 5) 18 + -7b = -8 + (-100 + -25b) Combine like terms: -8 + -100 = -108 18 + -7b = -108 + -25b Solving 18 + -7b = -108 + -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. 18 + -7b + 25b = -108 + -25b + 25b Combine like terms: -7b + 25b = 18b 18 + 18b = -108 + -25b + 25b Combine like terms: -25b + 25b = 0 18 + 18b = -108 + 0 18 + 18b = -108 Add '-18' to each side of the equation. 18 + -18 + 18b = -108 + -18 Combine like terms: 18 + -18 = 0 0 + 18b = -108 + -18 18b = -108 + -18 Combine like terms: -108 + -18 = -126 18b = -126 Divide each side by '18'. b = -7 Simplifying b = -7
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