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Simplifying a + -2(a + -2) = 2(1 + -2a) Reorder the terms: a + -2(-2 + a) = 2(1 + -2a) a + (-2 * -2 + a * -2) = 2(1 + -2a) a + (4 + -2a) = 2(1 + -2a) Reorder the terms: 4 + a + -2a = 2(1 + -2a) Combine like terms: a + -2a = -1a 4 + -1a = 2(1 + -2a) 4 + -1a = (1 * 2 + -2a * 2) 4 + -1a = (2 + -4a) Solving 4 + -1a = 2 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 4 + -1a + 4a = 2 + -4a + 4a Combine like terms: -1a + 4a = 3a 4 + 3a = 2 + -4a + 4a Combine like terms: -4a + 4a = 0 4 + 3a = 2 + 0 4 + 3a = 2 Add '-4' to each side of the equation. 4 + -4 + 3a = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 2 + -4 3a = 2 + -4 Combine like terms: 2 + -4 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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