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Simplifying 0 = (2a + 1) + -1(4a + 2) Reorder the terms: 0 = (1 + 2a) + -1(4a + 2) Remove parenthesis around (1 + 2a) 0 = 1 + 2a + -1(4a + 2) Reorder the terms: 0 = 1 + 2a + -1(2 + 4a) 0 = 1 + 2a + (2 * -1 + 4a * -1) 0 = 1 + 2a + (-2 + -4a) Reorder the terms: 0 = 1 + -2 + 2a + -4a Combine like terms: 1 + -2 = -1 0 = -1 + 2a + -4a Combine like terms: 2a + -4a = -2a 0 = -1 + -2a Solving 0 = -1 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 0 + 2a = -1 + -2a + 2a Remove the zero: 2a = -1 + -2a + 2a Combine like terms: -2a + 2a = 0 2a = -1 + 0 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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