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Simplifying (-4b + 3c) + -1(-3c + 6b) = 0 Remove parenthesis around (-4b + 3c) -4b + 3c + -1(-3c + 6b) = 0 Reorder the terms: -4b + 3c + -1(6b + -3c) = 0 -4b + 3c + (6b * -1 + -3c * -1) = 0 -4b + 3c + (-6b + 3c) = 0 Reorder the terms: -4b + -6b + 3c + 3c = 0 Combine like terms: -4b + -6b = -10b -10b + 3c + 3c = 0 Combine like terms: 3c + 3c = 6c -10b + 6c = 0 Solving -10b + 6c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6c' to each side of the equation. -10b + 6c + -6c = 0 + -6c Combine like terms: 6c + -6c = 0 -10b + 0 = 0 + -6c -10b = 0 + -6c Remove the zero: -10b = -6c Divide each side by '-10'. b = 0.6c Simplifying b = 0.6c
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