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Simplifying -7a + -8b + 4b + 19a + -1c = 0 Reorder the terms: -7a + 19a + -8b + 4b + -1c = 0 Combine like terms: -7a + 19a = 12a 12a + -8b + 4b + -1c = 0 Combine like terms: -8b + 4b = -4b 12a + -4b + -1c = 0 Solving 12a + -4b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 12a + -4b + 4b + -1c = 0 + 4b Combine like terms: -4b + 4b = 0 12a + 0 + -1c = 0 + 4b 12a + -1c = 0 + 4b Remove the zero: 12a + -1c = 4b Add 'c' to each side of the equation. 12a + -1c + c = 4b + c Combine like terms: -1c + c = 0 12a + 0 = 4b + c 12a = 4b + c Divide each side by '12'. a = 0.3333333333b + 0.08333333333c Simplifying a = 0.3333333333b + 0.08333333333c
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