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Simplifying 20 = 5b + -1(100 + 3b) 20 = 5b + (100 * -1 + 3b * -1) 20 = 5b + (-100 + -3b) Reorder the terms: 20 = -100 + 5b + -3b Combine like terms: 5b + -3b = 2b 20 = -100 + 2b Solving 20 = -100 + 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. 20 + -2b = -100 + 2b + -2b Combine like terms: 2b + -2b = 0 20 + -2b = -100 + 0 20 + -2b = -100 Add '-20' to each side of the equation. 20 + -20 + -2b = -100 + -20 Combine like terms: 20 + -20 = 0 0 + -2b = -100 + -20 -2b = -100 + -20 Combine like terms: -100 + -20 = -120 -2b = -120 Divide each side by '-2'. b = 60 Simplifying b = 60
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