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Simplifying 100 + 40b + 50c = 202 Solving 100 + 40b + 50c = 202 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 40b + -100 + 50c = 202 + -100 Reorder the terms: 100 + -100 + 40b + 50c = 202 + -100 Combine like terms: 100 + -100 = 0 0 + 40b + 50c = 202 + -100 40b + 50c = 202 + -100 Combine like terms: 202 + -100 = 102 40b + 50c = 102 Add '-50c' to each side of the equation. 40b + 50c + -50c = 102 + -50c Combine like terms: 50c + -50c = 0 40b + 0 = 102 + -50c 40b = 102 + -50c Divide each side by '40'. b = 2.55 + -1.25c Simplifying b = 2.55 + -1.25c
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