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Simplifying 2(3c) + 2(6b + -21) + 2(5b + -52) = 180 Remove parenthesis around (3c) 2 * 3c + 2(6b + -21) + 2(5b + -52) = 180 Multiply 2 * 3 6c + 2(6b + -21) + 2(5b + -52) = 180 Reorder the terms: 6c + 2(-21 + 6b) + 2(5b + -52) = 180 6c + (-21 * 2 + 6b * 2) + 2(5b + -52) = 180 6c + (-42 + 12b) + 2(5b + -52) = 180 Reorder the terms: 6c + -42 + 12b + 2(-52 + 5b) = 180 6c + -42 + 12b + (-52 * 2 + 5b * 2) = 180 6c + -42 + 12b + (-104 + 10b) = 180 Reorder the terms: -42 + -104 + 12b + 10b + 6c = 180 Combine like terms: -42 + -104 = -146 -146 + 12b + 10b + 6c = 180 Combine like terms: 12b + 10b = 22b -146 + 22b + 6c = 180 Solving -146 + 22b + 6c = 180 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '146' to each side of the equation. -146 + 22b + 146 + 6c = 180 + 146 Reorder the terms: -146 + 146 + 22b + 6c = 180 + 146 Combine like terms: -146 + 146 = 0 0 + 22b + 6c = 180 + 146 22b + 6c = 180 + 146 Combine like terms: 180 + 146 = 326 22b + 6c = 326 Add '-6c' to each side of the equation. 22b + 6c + -6c = 326 + -6c Combine like terms: 6c + -6c = 0 22b + 0 = 326 + -6c 22b = 326 + -6c Divide each side by '22'. b = 14.81818182 + -0.2727272727c Simplifying b = 14.81818182 + -0.2727272727c
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