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Simplifying -19 + 12b = 10b + 11 + -12 Reorder the terms: -19 + 12b = 11 + -12 + 10b Combine like terms: 11 + -12 = -1 -19 + 12b = -1 + 10b Solving -19 + 12b = -1 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -19 + 12b + -10b = -1 + 10b + -10b Combine like terms: 12b + -10b = 2b -19 + 2b = -1 + 10b + -10b Combine like terms: 10b + -10b = 0 -19 + 2b = -1 + 0 -19 + 2b = -1 Add '19' to each side of the equation. -19 + 19 + 2b = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 2b = -1 + 19 2b = -1 + 19 Combine like terms: -1 + 19 = 18 2b = 18 Divide each side by '2'. b = 9 Simplifying b = 9
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