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Simplifying 0.2(3b + -15c) + 6c = 0 (3b * 0.2 + -15c * 0.2) + 6c = 0 (0.6b + -3c) + 6c = 0 Combine like terms: -3c + 6c = 3c 0.6b + 3c = 0 Solving 0.6b + 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. 0.6b + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 0.6b + 0 = 0 + -3c 0.6b = 0 + -3c Remove the zero: 0.6b = -3c Divide each side by '0.6'. b = -5c Simplifying b = -5c
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