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Simplifying 8a + -1c + 8b + -8c + -13a = 0 Reorder the terms: 8a + -13a + 8b + -1c + -8c = 0 Combine like terms: 8a + -13a = -5a -5a + 8b + -1c + -8c = 0 Combine like terms: -1c + -8c = -9c -5a + 8b + -9c = 0 Solving -5a + 8b + -9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. -5a + 8b + -8b + -9c = 0 + -8b Combine like terms: 8b + -8b = 0 -5a + 0 + -9c = 0 + -8b -5a + -9c = 0 + -8b Remove the zero: -5a + -9c = -8b Add '9c' to each side of the equation. -5a + -9c + 9c = -8b + 9c Combine like terms: -9c + 9c = 0 -5a + 0 = -8b + 9c -5a = -8b + 9c Divide each side by '-5'. a = 1.6b + -1.8c Simplifying a = 1.6b + -1.8c
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