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Simplifying 75 = 4(b + 8.5) Reorder the terms: 75 = 4(8.5 + b) 75 = (8.5 * 4 + b * 4) 75 = (34 + 4b) Solving 75 = 34 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 75 + -4b = 34 + 4b + -4b Combine like terms: 4b + -4b = 0 75 + -4b = 34 + 0 75 + -4b = 34 Add '-75' to each side of the equation. 75 + -75 + -4b = 34 + -75 Combine like terms: 75 + -75 = 0 0 + -4b = 34 + -75 -4b = 34 + -75 Combine like terms: 34 + -75 = -41 -4b = -41 Divide each side by '-4'. b = 10.25 Simplifying b = 10.25
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