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Simplifying 20(b + 4) + -1(9 + b) = -2 Reorder the terms: 20(4 + b) + -1(9 + b) = -2 (4 * 20 + b * 20) + -1(9 + b) = -2 (80 + 20b) + -1(9 + b) = -2 80 + 20b + (9 * -1 + b * -1) = -2 80 + 20b + (-9 + -1b) = -2 Reorder the terms: 80 + -9 + 20b + -1b = -2 Combine like terms: 80 + -9 = 71 71 + 20b + -1b = -2 Combine like terms: 20b + -1b = 19b 71 + 19b = -2 Solving 71 + 19b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + 19b = -2 + -71 Combine like terms: 71 + -71 = 0 0 + 19b = -2 + -71 19b = -2 + -71 Combine like terms: -2 + -71 = -73 19b = -73 Divide each side by '19'. b = -3.842105263 Simplifying b = -3.842105263
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