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Simplifying -1(-2 + -4a) + -8 = -3(1 + -1a) (-2 * -1 + -4a * -1) + -8 = -3(1 + -1a) (2 + 4a) + -8 = -3(1 + -1a) Reorder the terms: 2 + -8 + 4a = -3(1 + -1a) Combine like terms: 2 + -8 = -6 -6 + 4a = -3(1 + -1a) -6 + 4a = (1 * -3 + -1a * -3) -6 + 4a = (-3 + 3a) Solving -6 + 4a = -3 + 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. -6 + 4a + -3a = -3 + 3a + -3a Combine like terms: 4a + -3a = 1a -6 + 1a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + 1a = -3 + 0 -6 + 1a = -3 Add '6' to each side of the equation. -6 + 6 + 1a = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = -3 + 6 1a = -3 + 6 Combine like terms: -3 + 6 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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