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Simplifying -4(a + 4) + 8a = -2(2 + 4a) Reorder the terms: -4(4 + a) + 8a = -2(2 + 4a) (4 * -4 + a * -4) + 8a = -2(2 + 4a) (-16 + -4a) + 8a = -2(2 + 4a) Combine like terms: -4a + 8a = 4a -16 + 4a = -2(2 + 4a) -16 + 4a = (2 * -2 + 4a * -2) -16 + 4a = (-4 + -8a) Solving -16 + 4a = -4 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -16 + 4a + 8a = -4 + -8a + 8a Combine like terms: 4a + 8a = 12a -16 + 12a = -4 + -8a + 8a Combine like terms: -8a + 8a = 0 -16 + 12a = -4 + 0 -16 + 12a = -4 Add '16' to each side of the equation. -16 + 16 + 12a = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 12a = -4 + 16 12a = -4 + 16 Combine like terms: -4 + 16 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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