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Simplifying 2(9c + -1) + 7(c + b) = -60 Reorder the terms: 2(-1 + 9c) + 7(c + b) = -60 (-1 * 2 + 9c * 2) + 7(c + b) = -60 (-2 + 18c) + 7(c + b) = -60 Reorder the terms: -2 + 18c + 7(b + c) = -60 -2 + 18c + (b * 7 + c * 7) = -60 -2 + 18c + (7b + 7c) = -60 Reorder the terms: -2 + 7b + 18c + 7c = -60 Combine like terms: 18c + 7c = 25c -2 + 7b + 25c = -60 Solving -2 + 7b + 25c = -60 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7b + 2 + 25c = -60 + 2 Reorder the terms: -2 + 2 + 7b + 25c = -60 + 2 Combine like terms: -2 + 2 = 0 0 + 7b + 25c = -60 + 2 7b + 25c = -60 + 2 Combine like terms: -60 + 2 = -58 7b + 25c = -58 Add '-25c' to each side of the equation. 7b + 25c + -25c = -58 + -25c Combine like terms: 25c + -25c = 0 7b + 0 = -58 + -25c 7b = -58 + -25c Divide each side by '7'. b = -8.285714286 + -3.571428571c Simplifying b = -8.285714286 + -3.571428571c
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