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Simplifying 2.7c + -25 + 5b = 7 + -32 Reorder the terms: -25 + 5b + 2.7c = 7 + -32 Combine like terms: 7 + -32 = -25 -25 + 5b + 2.7c = -25 Add '25' to each side of the equation. -25 + 5b + 25 + 2.7c = -25 + 25 Reorder the terms: -25 + 25 + 5b + 2.7c = -25 + 25 Combine like terms: -25 + 25 = 0 0 + 5b + 2.7c = -25 + 25 5b + 2.7c = -25 + 25 Combine like terms: -25 + 25 = 0 5b + 2.7c = 0 Solving 5b + 2.7c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.7c' to each side of the equation. 5b + 2.7c + -2.7c = 0 + -2.7c Combine like terms: 2.7c + -2.7c = 0.0 5b + 0.0 = 0 + -2.7c 5b = 0 + -2.7c Remove the zero: 5b = -2.7c Divide each side by '5'. b = -0.54c Simplifying b = -0.54c
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