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Simplifying 4(2a + 4) + 4(a + -2) = 0 Reorder the terms: 4(4 + 2a) + 4(a + -2) = 0 (4 * 4 + 2a * 4) + 4(a + -2) = 0 (16 + 8a) + 4(a + -2) = 0 Reorder the terms: 16 + 8a + 4(-2 + a) = 0 16 + 8a + (-2 * 4 + a * 4) = 0 16 + 8a + (-8 + 4a) = 0 Reorder the terms: 16 + -8 + 8a + 4a = 0 Combine like terms: 16 + -8 = 8 8 + 8a + 4a = 0 Combine like terms: 8a + 4a = 12a 8 + 12a = 0 Solving 8 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 12a = 0 + -8 12a = 0 + -8 Combine like terms: 0 + -8 = -8 12a = -8 Divide each side by '12'. a = -0.6666666667 Simplifying a = -0.6666666667
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