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Simplifying 19 = 5 + -1(b + 7) Reorder the terms: 19 = 5 + -1(7 + b) 19 = 5 + (7 * -1 + b * -1) 19 = 5 + (-7 + -1b) Combine like terms: 5 + -7 = -2 19 = -2 + -1b Solving 19 = -2 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 19 + b = -2 + -1b + b Combine like terms: -1b + b = 0 19 + b = -2 + 0 19 + b = -2 Add '-19' to each side of the equation. 19 + -19 + b = -2 + -19 Combine like terms: 19 + -19 = 0 0 + b = -2 + -19 b = -2 + -19 Combine like terms: -2 + -19 = -21 b = -21 Simplifying b = -21
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