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Simplifying (40a + 7b) * 3c = 0 Reorder the terms for easier multiplication: 3c(40a + 7b) = 0 (40a * 3c + 7b * 3c) = 0 (120ac + 21bc) = 0 Solving 120ac + 21bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21bc' to each side of the equation. 120ac + 21bc + -21bc = 0 + -21bc Combine like terms: 21bc + -21bc = 0 120ac + 0 = 0 + -21bc 120ac = 0 + -21bc Remove the zero: 120ac = -21bc Divide each side by '120c'. a = -0.175b Simplifying a = -0.175b
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