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Simplifying 7a + -8b + a + 9c + 4c + 11b = 0 Reorder the terms: 7a + a + -8b + 11b + 9c + 4c = 0 Combine like terms: 7a + a = 8a 8a + -8b + 11b + 9c + 4c = 0 Combine like terms: -8b + 11b = 3b 8a + 3b + 9c + 4c = 0 Combine like terms: 9c + 4c = 13c 8a + 3b + 13c = 0 Solving 8a + 3b + 13c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 8a + 3b + -3b + 13c = 0 + -3b Combine like terms: 3b + -3b = 0 8a + 0 + 13c = 0 + -3b 8a + 13c = 0 + -3b Remove the zero: 8a + 13c = -3b Add '-13c' to each side of the equation. 8a + 13c + -13c = -3b + -13c Combine like terms: 13c + -13c = 0 8a + 0 = -3b + -13c 8a = -3b + -13c Divide each side by '8'. a = -0.375b + -1.625c Simplifying a = -0.375b + -1.625c
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