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Simplifying 16a + 7c + 5 + -7a + c = 0 Reorder the terms: 5 + 16a + -7a + 7c + c = 0 Combine like terms: 16a + -7a = 9a 5 + 9a + 7c + c = 0 Combine like terms: 7c + c = 8c 5 + 9a + 8c = 0 Solving 5 + 9a + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 9a + -5 + 8c = 0 + -5 Reorder the terms: 5 + -5 + 9a + 8c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9a + 8c = 0 + -5 9a + 8c = 0 + -5 Combine like terms: 0 + -5 = -5 9a + 8c = -5 Add '-8c' to each side of the equation. 9a + 8c + -8c = -5 + -8c Combine like terms: 8c + -8c = 0 9a + 0 = -5 + -8c 9a = -5 + -8c Divide each side by '9'. a = -0.5555555556 + -0.8888888889c Simplifying a = -0.5555555556 + -0.8888888889c
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