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Simplifying 3c + (6b + -21) + (5b + -52) = 90 Reorder the terms: 3c + (-21 + 6b) + (5b + -52) = 90 Remove parenthesis around (-21 + 6b) 3c + -21 + 6b + (5b + -52) = 90 Reorder the terms: 3c + -21 + 6b + (-52 + 5b) = 90 Remove parenthesis around (-52 + 5b) 3c + -21 + 6b + -52 + 5b = 90 Reorder the terms: -21 + -52 + 6b + 5b + 3c = 90 Combine like terms: -21 + -52 = -73 -73 + 6b + 5b + 3c = 90 Combine like terms: 6b + 5b = 11b -73 + 11b + 3c = 90 Solving -73 + 11b + 3c = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 11b + 73 + 3c = 90 + 73 Reorder the terms: -73 + 73 + 11b + 3c = 90 + 73 Combine like terms: -73 + 73 = 0 0 + 11b + 3c = 90 + 73 11b + 3c = 90 + 73 Combine like terms: 90 + 73 = 163 11b + 3c = 163 Add '-3c' to each side of the equation. 11b + 3c + -3c = 163 + -3c Combine like terms: 3c + -3c = 0 11b + 0 = 163 + -3c 11b = 163 + -3c Divide each side by '11'. b = 14.81818182 + -0.2727272727c Simplifying b = 14.81818182 + -0.2727272727c
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