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Simplifying 100(b + -3) = 450 + -50b Reorder the terms: 100(-3 + b) = 450 + -50b (-3 * 100 + b * 100) = 450 + -50b (-300 + 100b) = 450 + -50b Solving -300 + 100b = 450 + -50b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '50b' to each side of the equation. -300 + 100b + 50b = 450 + -50b + 50b Combine like terms: 100b + 50b = 150b -300 + 150b = 450 + -50b + 50b Combine like terms: -50b + 50b = 0 -300 + 150b = 450 + 0 -300 + 150b = 450 Add '300' to each side of the equation. -300 + 300 + 150b = 450 + 300 Combine like terms: -300 + 300 = 0 0 + 150b = 450 + 300 150b = 450 + 300 Combine like terms: 450 + 300 = 750 150b = 750 Divide each side by '150'. b = 5 Simplifying b = 5
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