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Simplifying 13a + -2b + 5c + 8a + -7b = 0 Reorder the terms: 13a + 8a + -2b + -7b + 5c = 0 Combine like terms: 13a + 8a = 21a 21a + -2b + -7b + 5c = 0 Combine like terms: -2b + -7b = -9b 21a + -9b + 5c = 0 Solving 21a + -9b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 21a + -9b + 9b + 5c = 0 + 9b Combine like terms: -9b + 9b = 0 21a + 0 + 5c = 0 + 9b 21a + 5c = 0 + 9b Remove the zero: 21a + 5c = 9b Add '-5c' to each side of the equation. 21a + 5c + -5c = 9b + -5c Combine like terms: 5c + -5c = 0 21a + 0 = 9b + -5c 21a = 9b + -5c Divide each side by '21'. a = 0.4285714286b + -0.2380952381c Simplifying a = 0.4285714286b + -0.2380952381c
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