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Simplifying -19(8a + -4b + 6c) = 0 (8a * -19 + -4b * -19 + 6c * -19) = 0 (-152a + 76b + -114c) = 0 Solving -152a + 76b + -114c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-76b' to each side of the equation. -152a + 76b + -76b + -114c = 0 + -76b Combine like terms: 76b + -76b = 0 -152a + 0 + -114c = 0 + -76b -152a + -114c = 0 + -76b Remove the zero: -152a + -114c = -76b Add '114c' to each side of the equation. -152a + -114c + 114c = -76b + 114c Combine like terms: -114c + 114c = 0 -152a + 0 = -76b + 114c -152a = -76b + 114c Divide each side by '-152'. a = 0.5b + -0.75c Simplifying a = 0.5b + -0.75c
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