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Simplifying -4(6a + -9b + 5c) = 0 (6a * -4 + -9b * -4 + 5c * -4) = 0 (-24a + 36b + -20c) = 0 Solving -24a + 36b + -20c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36b' to each side of the equation. -24a + 36b + -36b + -20c = 0 + -36b Combine like terms: 36b + -36b = 0 -24a + 0 + -20c = 0 + -36b -24a + -20c = 0 + -36b Remove the zero: -24a + -20c = -36b Add '20c' to each side of the equation. -24a + -20c + 20c = -36b + 20c Combine like terms: -20c + 20c = 0 -24a + 0 = -36b + 20c -24a = -36b + 20c Divide each side by '-24'. a = 1.5b + -0.8333333333c Simplifying a = 1.5b + -0.8333333333c
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