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Simplifying -2(4a + 2) = 2(4 + -2a) Reorder the terms: -2(2 + 4a) = 2(4 + -2a) (2 * -2 + 4a * -2) = 2(4 + -2a) (-4 + -8a) = 2(4 + -2a) -4 + -8a = (4 * 2 + -2a * 2) -4 + -8a = (8 + -4a) Solving -4 + -8a = 8 + -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 + -8a + 4a = 8 + -4a + 4a Combine like terms: -8a + 4a = -4a -4 + -4a = 8 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + -4a = 8 + 0 -4 + -4a = 8 Add '4' to each side of the equation. -4 + 4 + -4a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -4a = 8 + 4 -4a = 8 + 4 Combine like terms: 8 + 4 = 12 -4a = 12 Divide each side by '-4'. a = -3 Simplifying a = -3
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