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Simplifying 16a + -7a = 9a + 7c + 5 + c Combine like terms: 16a + -7a = 9a 9a = 9a + 7c + 5 + c Reorder the terms: 9a = 5 + 9a + 7c + c Combine like terms: 7c + c = 8c 9a = 5 + 9a + 8c Add '-9a' to each side of the equation. 9a + -9a = 5 + 9a + -9a + 8c Combine like terms: 9a + -9a = 0 0 = 5 + 9a + -9a + 8c Combine like terms: 9a + -9a = 0 0 = 5 + 0 + 8c 0 = 5 + 8c Solving 0 = 5 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 0 + -8c = 5 + 8c + -8c Remove the zero: -8c = 5 + 8c + -8c Combine like terms: 8c + -8c = 0 -8c = 5 + 0 -8c = 5 Divide each side by '-8'. c = -0.625 Simplifying c = -0.625
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