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Simplifying 100 = 0.5(4 + b) * 20 Reorder the terms for easier multiplication: 100 = 0.5 * 20(4 + b) Multiply 0.5 * 20 100 = 10(4 + b) 100 = (4 * 10 + b * 10) 100 = (40 + 10b) Solving 100 = 40 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 100 + -10b = 40 + 10b + -10b Combine like terms: 10b + -10b = 0 100 + -10b = 40 + 0 100 + -10b = 40 Add '-100' to each side of the equation. 100 + -100 + -10b = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -10b = 40 + -100 -10b = 40 + -100 Combine like terms: 40 + -100 = -60 -10b = -60 Divide each side by '-10'. b = 6 Simplifying b = 6
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