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Simplifying (4a + -3b)(-2c) = 0 Remove parenthesis around (-2c) (4a + -3b) * -2c = 0 Reorder the terms for easier multiplication: -2c(4a + -3b) = 0 (4a * -2c + -3b * -2c) = 0 (-8ac + 6bc) = 0 Solving -8ac + 6bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6bc' to each side of the equation. -8ac + 6bc + -6bc = 0 + -6bc Combine like terms: 6bc + -6bc = 0 -8ac + 0 = 0 + -6bc -8ac = 0 + -6bc Remove the zero: -8ac = -6bc Divide each side by '-8c'. a = 0.75b Simplifying a = 0.75b
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