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Simplifying (2b + -1c) + -1(1.5b + 0.75c) = 0 Remove parenthesis around (2b + -1c) 2b + -1c + -1(1.5b + 0.75c) = 0 2b + -1c + (1.5b * -1 + 0.75c * -1) = 0 2b + -1c + (-1.5b + -0.75c) = 0 Reorder the terms: 2b + -1.5b + -1c + -0.75c = 0 Combine like terms: 2b + -1.5b = 0.5b 0.5b + -1c + -0.75c = 0 Combine like terms: -1c + -0.75c = -1.75c 0.5b + -1.75c = 0 Solving 0.5b + -1.75c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.75c' to each side of the equation. 0.5b + -1.75c + 1.75c = 0 + 1.75c Combine like terms: -1.75c + 1.75c = 0.00 0.5b + 0.00 = 0 + 1.75c 0.5b = 0 + 1.75c Remove the zero: 0.5b = 1.75c Divide each side by '0.5'. b = 3.5c Simplifying b = 3.5c
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