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Simplifying 175(1 + b * 0.003) = b Reorder the terms for easier multiplication: 175(1 + 0.003b) = b (1 * 175 + 0.003b * 175) = b (175 + 0.525b) = b Solving 175 + 0.525b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 175 + 0.525b + -1b = b + -1b Combine like terms: 0.525b + -1b = -0.475b 175 + -0.475b = b + -1b Combine like terms: b + -1b = 0 175 + -0.475b = 0 Add '-175' to each side of the equation. 175 + -175 + -0.475b = 0 + -175 Combine like terms: 175 + -175 = 0 0 + -0.475b = 0 + -175 -0.475b = 0 + -175 Combine like terms: 0 + -175 = -175 -0.475b = -175 Divide each side by '-0.475'. b = 368.4210526 Simplifying b = 368.4210526
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