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Simplifying 8a + -3b + 3c + 5a + -1b + 3c = 0 Reorder the terms: 8a + 5a + -3b + -1b + 3c + 3c = 0 Combine like terms: 8a + 5a = 13a 13a + -3b + -1b + 3c + 3c = 0 Combine like terms: -3b + -1b = -4b 13a + -4b + 3c + 3c = 0 Combine like terms: 3c + 3c = 6c 13a + -4b + 6c = 0 Solving 13a + -4b + 6c = 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. 13a + -4b + 4b + 6c = 0 + 4b Combine like terms: -4b + 4b = 0 13a + 0 + 6c = 0 + 4b 13a + 6c = 0 + 4b Remove the zero: 13a + 6c = 4b Add '-6c' to each side of the equation. 13a + 6c + -6c = 4b + -6c Combine like terms: 6c + -6c = 0 13a + 0 = 4b + -6c 13a = 4b + -6c Divide each side by '13'. a = 0.3076923077b + -0.4615384615c Simplifying a = 0.3076923077b + -0.4615384615c
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