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Simplifying 7c + 8c + -9b + 7b + 5a + -18c + b = 0 Reorder the terms: 5a + -9b + 7b + b + 7c + 8c + -18c = 0 Combine like terms: -9b + 7b = -2b 5a + -2b + b + 7c + 8c + -18c = 0 Combine like terms: -2b + b = -1b 5a + -1b + 7c + 8c + -18c = 0 Combine like terms: 7c + 8c = 15c 5a + -1b + 15c + -18c = 0 Combine like terms: 15c + -18c = -3c 5a + -1b + -3c = 0 Solving 5a + -1b + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 5a + -1b + b + -3c = 0 + b Combine like terms: -1b + b = 0 5a + 0 + -3c = 0 + b 5a + -3c = 0 + b Remove the zero: 5a + -3c = b Add '3c' to each side of the equation. 5a + -3c + 3c = b + 3c Combine like terms: -3c + 3c = 0 5a + 0 = b + 3c 5a = b + 3c Divide each side by '5'. a = 0.2b + 0.6c Simplifying a = 0.2b + 0.6c
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