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Simplifying 19 + 5 + 12b + -8 + -5b = 2b + -7 + 3b + 3b + -4 Reorder the terms: 19 + 5 + -8 + 12b + -5b = 2b + -7 + 3b + 3b + -4 Combine like terms: 19 + 5 = 24 24 + -8 + 12b + -5b = 2b + -7 + 3b + 3b + -4 Combine like terms: 24 + -8 = 16 16 + 12b + -5b = 2b + -7 + 3b + 3b + -4 Combine like terms: 12b + -5b = 7b 16 + 7b = 2b + -7 + 3b + 3b + -4 Reorder the terms: 16 + 7b = -7 + -4 + 2b + 3b + 3b Combine like terms: -7 + -4 = -11 16 + 7b = -11 + 2b + 3b + 3b Combine like terms: 2b + 3b = 5b 16 + 7b = -11 + 5b + 3b Combine like terms: 5b + 3b = 8b 16 + 7b = -11 + 8b Solving 16 + 7b = -11 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 16 + 7b + -8b = -11 + 8b + -8b Combine like terms: 7b + -8b = -1b 16 + -1b = -11 + 8b + -8b Combine like terms: 8b + -8b = 0 16 + -1b = -11 + 0 16 + -1b = -11 Add '-16' to each side of the equation. 16 + -16 + -1b = -11 + -16 Combine like terms: 16 + -16 = 0 0 + -1b = -11 + -16 -1b = -11 + -16 Combine like terms: -11 + -16 = -27 -1b = -27 Divide each side by '-1'. b = 27 Simplifying b = 27
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