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Simplifying 0.2(3b + -15c) * 6c = 0 Reorder the terms for easier multiplication: 0.2 * 6c(3b + -15c) = 0 Multiply 0.2 * 6 1.2c(3b + -15c) = 0 (3b * 1.2c + -15c * 1.2c) = 0 (3.6bc + -18c2) = 0 Solving 3.6bc + -18c2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18c2' to each side of the equation. 3.6bc + -18c2 + 18c2 = 0 + 18c2 Combine like terms: -18c2 + 18c2 = 0 3.6bc + 0 = 0 + 18c2 3.6bc = 0 + 18c2 Remove the zero: 3.6bc = 18c2 Divide each side by '3.6c'. b = 5c Simplifying b = 5c
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