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Simplifying -1(2 + 4a) + a = 3a + -8 (2 * -1 + 4a * -1) + a = 3a + -8 (-2 + -4a) + a = 3a + -8 Combine like terms: -4a + a = -3a -2 + -3a = 3a + -8 Reorder the terms: -2 + -3a = -8 + 3a Solving -2 + -3a = -8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2 + -3a + -3a = -8 + 3a + -3a Combine like terms: -3a + -3a = -6a -2 + -6a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + -6a = -8 + 0 -2 + -6a = -8 Add '2' to each side of the equation. -2 + 2 + -6a = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -6a = -8 + 2 -6a = -8 + 2 Combine like terms: -8 + 2 = -6 -6a = -6 Divide each side by '-6'. a = 1 Simplifying a = 1
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