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Simplifying 6c + -18 + 7b + -20 = 180 Reorder the terms: -18 + -20 + 7b + 6c = 180 Combine like terms: -18 + -20 = -38 -38 + 7b + 6c = 180 Solving -38 + 7b + 6c = 180 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 7b + 38 + 6c = 180 + 38 Reorder the terms: -38 + 38 + 7b + 6c = 180 + 38 Combine like terms: -38 + 38 = 0 0 + 7b + 6c = 180 + 38 7b + 6c = 180 + 38 Combine like terms: 180 + 38 = 218 7b + 6c = 218 Add '-6c' to each side of the equation. 7b + 6c + -6c = 218 + -6c Combine like terms: 6c + -6c = 0 7b + 0 = 218 + -6c 7b = 218 + -6c Divide each side by '7'. b = 31.14285714 + -0.8571428571c Simplifying b = 31.14285714 + -0.8571428571c
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