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Simplifying (3a + -7b + 8c) + (a + -9b + 10c) + (-9 + 8b + -11c) = 0 Remove parenthesis around (3a + -7b + 8c) 3a + -7b + 8c + (a + -9b + 10c) + (-9 + 8b + -11c) = 0 Remove parenthesis around (a + -9b + 10c) 3a + -7b + 8c + a + -9b + 10c + (-9 + 8b + -11c) = 0 Remove parenthesis around (-9 + 8b + -11c) 3a + -7b + 8c + a + -9b + 10c + -9 + 8b + -11c = 0 Reorder the terms: -9 + 3a + a + -7b + -9b + 8b + 8c + 10c + -11c = 0 Combine like terms: 3a + a = 4a -9 + 4a + -7b + -9b + 8b + 8c + 10c + -11c = 0 Combine like terms: -7b + -9b = -16b -9 + 4a + -16b + 8b + 8c + 10c + -11c = 0 Combine like terms: -16b + 8b = -8b -9 + 4a + -8b + 8c + 10c + -11c = 0 Combine like terms: 8c + 10c = 18c -9 + 4a + -8b + 18c + -11c = 0 Combine like terms: 18c + -11c = 7c -9 + 4a + -8b + 7c = 0 Solving -9 + 4a + -8b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 4a + -8b + 9 + 7c = 0 + 9 Reorder the terms: -9 + 9 + 4a + -8b + 7c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4a + -8b + 7c = 0 + 9 4a + -8b + 7c = 0 + 9 Combine like terms: 0 + 9 = 9 4a + -8b + 7c = 9 Add '8b' to each side of the equation. 4a + -8b + 8b + 7c = 9 + 8b Combine like terms: -8b + 8b = 0 4a + 0 + 7c = 9 + 8b 4a + 7c = 9 + 8b Add '-7c' to each side of the equation. 4a + 7c + -7c = 9 + 8b + -7c Combine like terms: 7c + -7c = 0 4a + 0 = 9 + 8b + -7c 4a = 9 + 8b + -7c Divide each side by '4'. a = 2.25 + 2b + -1.75c Simplifying a = 2.25 + 2b + -1.75c
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