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Simplifying (b + -4c) + -1(-3b + -1c) = 0 Remove parenthesis around (b + -4c) b + -4c + -1(-3b + -1c) = 0 b + -4c + (-3b * -1 + -1c * -1) = 0 b + -4c + (3b + 1c) = 0 Reorder the terms: b + 3b + -4c + 1c = 0 Combine like terms: b + 3b = 4b 4b + -4c + 1c = 0 Combine like terms: -4c + 1c = -3c 4b + -3c = 0 Solving 4b + -3c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3c' to each side of the equation. 4b + -3c + 3c = 0 + 3c Combine like terms: -3c + 3c = 0 4b + 0 = 0 + 3c 4b = 0 + 3c Remove the zero: 4b = 3c Divide each side by '4'. b = 0.75c Simplifying b = 0.75c
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