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Simplifying 19 + b + 12b + -8 + -5b = 2b + -7 + -3b + 3b + -4 Reorder the terms: 19 + -8 + b + 12b + -5b = 2b + -7 + -3b + 3b + -4 Combine like terms: 19 + -8 = 11 11 + b + 12b + -5b = 2b + -7 + -3b + 3b + -4 Combine like terms: b + 12b = 13b 11 + 13b + -5b = 2b + -7 + -3b + 3b + -4 Combine like terms: 13b + -5b = 8b 11 + 8b = 2b + -7 + -3b + 3b + -4 Reorder the terms: 11 + 8b = -7 + -4 + 2b + -3b + 3b Combine like terms: -7 + -4 = -11 11 + 8b = -11 + 2b + -3b + 3b Combine like terms: 2b + -3b = -1b 11 + 8b = -11 + -1b + 3b Combine like terms: -1b + 3b = 2b 11 + 8b = -11 + 2b Solving 11 + 8b = -11 + 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. 11 + 8b + -2b = -11 + 2b + -2b Combine like terms: 8b + -2b = 6b 11 + 6b = -11 + 2b + -2b Combine like terms: 2b + -2b = 0 11 + 6b = -11 + 0 11 + 6b = -11 Add '-11' to each side of the equation. 11 + -11 + 6b = -11 + -11 Combine like terms: 11 + -11 = 0 0 + 6b = -11 + -11 6b = -11 + -11 Combine like terms: -11 + -11 = -22 6b = -22 Divide each side by '6'. b = -3.666666667 Simplifying b = -3.666666667
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