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Simplifying a + 2b + 9(3a + -4b + -5c) = 0 a + 2b + (3a * 9 + -4b * 9 + -5c * 9) = 0 a + 2b + (27a + -36b + -45c) = 0 Reorder the terms: a + 27a + 2b + -36b + -45c = 0 Combine like terms: a + 27a = 28a 28a + 2b + -36b + -45c = 0 Combine like terms: 2b + -36b = -34b 28a + -34b + -45c = 0 Solving 28a + -34b + -45c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34b' to each side of the equation. 28a + -34b + 34b + -45c = 0 + 34b Combine like terms: -34b + 34b = 0 28a + 0 + -45c = 0 + 34b 28a + -45c = 0 + 34b Remove the zero: 28a + -45c = 34b Add '45c' to each side of the equation. 28a + -45c + 45c = 34b + 45c Combine like terms: -45c + 45c = 0 28a + 0 = 34b + 45c 28a = 34b + 45c Divide each side by '28'. a = 1.214285714b + 1.607142857c Simplifying a = 1.214285714b + 1.607142857c
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