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Simplifying 7a + -1(2a + 8c) + -2c = 0 7a + (2a * -1 + 8c * -1) + -2c = 0 7a + (-2a + -8c) + -2c = 0 Combine like terms: 7a + -2a = 5a 5a + -8c + -2c = 0 Combine like terms: -8c + -2c = -10c 5a + -10c = 0 Solving 5a + -10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10c' to each side of the equation. 5a + -10c + 10c = 0 + 10c Combine like terms: -10c + 10c = 0 5a + 0 = 0 + 10c 5a = 0 + 10c Remove the zero: 5a = 10c Divide each side by '5'. a = 2c Simplifying a = 2c
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