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Simplifying 2a + 3b + 5c + -8a + 9a + 26 + -1c = 0 Reorder the terms: 26 + 2a + -8a + 9a + 3b + 5c + -1c = 0 Combine like terms: 2a + -8a = -6a 26 + -6a + 9a + 3b + 5c + -1c = 0 Combine like terms: -6a + 9a = 3a 26 + 3a + 3b + 5c + -1c = 0 Combine like terms: 5c + -1c = 4c 26 + 3a + 3b + 4c = 0 Solving 26 + 3a + 3b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 3a + 3b + -26 + 4c = 0 + -26 Reorder the terms: 26 + -26 + 3a + 3b + 4c = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3a + 3b + 4c = 0 + -26 3a + 3b + 4c = 0 + -26 Combine like terms: 0 + -26 = -26 3a + 3b + 4c = -26 Add '-3b' to each side of the equation. 3a + 3b + -3b + 4c = -26 + -3b Combine like terms: 3b + -3b = 0 3a + 0 + 4c = -26 + -3b 3a + 4c = -26 + -3b Add '-4c' to each side of the equation. 3a + 4c + -4c = -26 + -3b + -4c Combine like terms: 4c + -4c = 0 3a + 0 = -26 + -3b + -4c 3a = -26 + -3b + -4c Divide each side by '3'. a = -8.666666667 + -1b + -1.333333333c Simplifying a = -8.666666667 + -1b + -1.333333333c
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