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Simplifying 5b + 6d + -5c + 19a = 0 Reorder the terms: 19a + 5b + -5c + 6d = 0 Solving 19a + 5b + -5c + 6d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 19a + 5b + -5c + -5b + 6d = 0 + -5b Reorder the terms: 19a + 5b + -5b + -5c + 6d = 0 + -5b Combine like terms: 5b + -5b = 0 19a + 0 + -5c + 6d = 0 + -5b 19a + -5c + 6d = 0 + -5b Remove the zero: 19a + -5c + 6d = -5b Add '5c' to each side of the equation. 19a + -5c + 5c + 6d = -5b + 5c Combine like terms: -5c + 5c = 0 19a + 0 + 6d = -5b + 5c 19a + 6d = -5b + 5c Add '-6d' to each side of the equation. 19a + 6d + -6d = -5b + 5c + -6d Combine like terms: 6d + -6d = 0 19a + 0 = -5b + 5c + -6d 19a = -5b + 5c + -6d Divide each side by '19'. a = -0.2631578947b + 0.2631578947c + -0.3157894737d Simplifying a = -0.2631578947b + 0.2631578947c + -0.3157894737d
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