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Simplifying 2(c + a) = 8a Reorder the terms: 2(a + c) = 8a (a * 2 + c * 2) = 8a (2a + 2c) = 8a Solving 2a + 2c = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 2a + -8a + 2c = 8a + -8a Combine like terms: 2a + -8a = -6a -6a + 2c = 8a + -8a Combine like terms: 8a + -8a = 0 -6a + 2c = 0 Add '-2c' to each side of the equation. -6a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 -6a + 0 = 0 + -2c -6a = 0 + -2c Remove the zero: -6a = -2c Divide each side by '-6'. a = 0.3333333333c Simplifying a = 0.3333333333c
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