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Simplifying -7a + 3(a + c) + 5c = 0 -7a + (a * 3 + c * 3) + 5c = 0 -7a + (3a + 3c) + 5c = 0 Combine like terms: -7a + 3a = -4a -4a + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c -4a + 8c = 0 Solving -4a + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8c' to each side of the equation. -4a + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 -4a + 0 = 0 + -8c -4a = 0 + -8c Remove the zero: -4a = -8c Divide each side by '-4'. a = 2c Simplifying a = 2c
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