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Simplifying a + 2(4 + 2a + -1c) + -4c + 2 = 0 a + (4 * 2 + 2a * 2 + -1c * 2) + -4c + 2 = 0 a + (8 + 4a + -2c) + -4c + 2 = 0 Reorder the terms: 8 + 2 + a + 4a + -2c + -4c = 0 Combine like terms: 8 + 2 = 10 10 + a + 4a + -2c + -4c = 0 Combine like terms: a + 4a = 5a 10 + 5a + -2c + -4c = 0 Combine like terms: -2c + -4c = -6c 10 + 5a + -6c = 0 Solving 10 + 5a + -6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5a + -10 + -6c = 0 + -10 Reorder the terms: 10 + -10 + 5a + -6c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5a + -6c = 0 + -10 5a + -6c = 0 + -10 Combine like terms: 0 + -10 = -10 5a + -6c = -10 Add '6c' to each side of the equation. 5a + -6c + 6c = -10 + 6c Combine like terms: -6c + 6c = 0 5a + 0 = -10 + 6c 5a = -10 + 6c Divide each side by '5'. a = -2 + 1.2c Simplifying a = -2 + 1.2c
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