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Simplifying 75 = 0.5(b)(4) Reorder the terms for easier multiplication: 75 = 0.5 * 4b Multiply 0.5 * 4 75 = 2b Solving 75 = 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. 75 + -2b = 2b + -2b Combine like terms: 2b + -2b = 0 75 + -2b = 0 Add '-75' to each side of the equation. 75 + -75 + -2b = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -2b = 0 + -75 -2b = 0 + -75 Combine like terms: 0 + -75 = -75 -2b = -75 Divide each side by '-2'. b = 37.5 Simplifying b = 37.5
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