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Simplifying 2(4a + 2) = 2(a + -2) Reorder the terms: 2(2 + 4a) = 2(a + -2) (2 * 2 + 4a * 2) = 2(a + -2) (4 + 8a) = 2(a + -2) Reorder the terms: 4 + 8a = 2(-2 + a) 4 + 8a = (-2 * 2 + a * 2) 4 + 8a = (-4 + 2a) Solving 4 + 8a = -4 + 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. 4 + 8a + -2a = -4 + 2a + -2a Combine like terms: 8a + -2a = 6a 4 + 6a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 6a = -4 + 0 4 + 6a = -4 Add '-4' to each side of the equation. 4 + -4 + 6a = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 6a = -4 + -4 6a = -4 + -4 Combine like terms: -4 + -4 = -8 6a = -8 Divide each side by '6'. a = -1.333333333 Simplifying a = -1.333333333
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