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Simplifying 19 = 2(b + 20) + -1(-17) Reorder the terms: 19 = 2(20 + b) + -1(-17) 19 = (20 * 2 + b * 2) + -1(-17) 19 = (40 + 2b) + -1(-17) Multiply -1 * -17 19 = 40 + 2b + 17 Reorder the terms: 19 = 40 + 17 + 2b Combine like terms: 40 + 17 = 57 19 = 57 + 2b Solving 19 = 57 + 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. 19 + -2b = 57 + 2b + -2b Combine like terms: 2b + -2b = 0 19 + -2b = 57 + 0 19 + -2b = 57 Add '-19' to each side of the equation. 19 + -19 + -2b = 57 + -19 Combine like terms: 19 + -19 = 0 0 + -2b = 57 + -19 -2b = 57 + -19 Combine like terms: 57 + -19 = 38 -2b = 38 Divide each side by '-2'. b = -19 Simplifying b = -19
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