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Simplifying -2(8a + 4) = 4(1 + -1a) Reorder the terms: -2(4 + 8a) = 4(1 + -1a) (4 * -2 + 8a * -2) = 4(1 + -1a) (-8 + -16a) = 4(1 + -1a) -8 + -16a = (1 * 4 + -1a * 4) -8 + -16a = (4 + -4a) Solving -8 + -16a = 4 + -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. -8 + -16a + 4a = 4 + -4a + 4a Combine like terms: -16a + 4a = -12a -8 + -12a = 4 + -4a + 4a Combine like terms: -4a + 4a = 0 -8 + -12a = 4 + 0 -8 + -12a = 4 Add '8' to each side of the equation. -8 + 8 + -12a = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -12a = 4 + 8 -12a = 4 + 8 Combine like terms: 4 + 8 = 12 -12a = 12 Divide each side by '-12'. a = -1 Simplifying a = -1
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