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Simplifying 2b + b + 3c + 2b + 15 = 90 + 3c Reorder the terms: 15 + 2b + b + 2b + 3c = 90 + 3c Combine like terms: 2b + b = 3b 15 + 3b + 2b + 3c = 90 + 3c Combine like terms: 3b + 2b = 5b 15 + 5b + 3c = 90 + 3c Add '-3c' to each side of the equation. 15 + 5b + 3c + -3c = 90 + 3c + -3c Combine like terms: 3c + -3c = 0 15 + 5b + 0 = 90 + 3c + -3c 15 + 5b = 90 + 3c + -3c Combine like terms: 3c + -3c = 0 15 + 5b = 90 + 0 15 + 5b = 90 Solving 15 + 5b = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5b = 90 + -15 Combine like terms: 15 + -15 = 0 0 + 5b = 90 + -15 5b = 90 + -15 Combine like terms: 90 + -15 = 75 5b = 75 Divide each side by '5'. b = 15 Simplifying b = 15
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