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Simplifying -19 + 13b + 9 = 3b + 20 Reorder the terms: -19 + 9 + 13b = 3b + 20 Combine like terms: -19 + 9 = -10 -10 + 13b = 3b + 20 Reorder the terms: -10 + 13b = 20 + 3b Solving -10 + 13b = 20 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -10 + 13b + -3b = 20 + 3b + -3b Combine like terms: 13b + -3b = 10b -10 + 10b = 20 + 3b + -3b Combine like terms: 3b + -3b = 0 -10 + 10b = 20 + 0 -10 + 10b = 20 Add '10' to each side of the equation. -10 + 10 + 10b = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10b = 20 + 10 10b = 20 + 10 Combine like terms: 20 + 10 = 30 10b = 30 Divide each side by '10'. b = 3 Simplifying b = 3
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