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Simplifying -15a + 13a + -15c + -17c + 4a = 0 Reorder the terms: -15a + 13a + 4a + -15c + -17c = 0 Combine like terms: -15a + 13a = -2a -2a + 4a + -15c + -17c = 0 Combine like terms: -2a + 4a = 2a 2a + -15c + -17c = 0 Combine like terms: -15c + -17c = -32c 2a + -32c = 0 Solving 2a + -32c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32c' to each side of the equation. 2a + -32c + 32c = 0 + 32c Combine like terms: -32c + 32c = 0 2a + 0 = 0 + 32c 2a = 0 + 32c Remove the zero: 2a = 32c Divide each side by '2'. a = 16c Simplifying a = 16c
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