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Simplifying 2(2a + -6) + 4(3a + 5) = 0 Reorder the terms: 2(-6 + 2a) + 4(3a + 5) = 0 (-6 * 2 + 2a * 2) + 4(3a + 5) = 0 (-12 + 4a) + 4(3a + 5) = 0 Reorder the terms: -12 + 4a + 4(5 + 3a) = 0 -12 + 4a + (5 * 4 + 3a * 4) = 0 -12 + 4a + (20 + 12a) = 0 Reorder the terms: -12 + 20 + 4a + 12a = 0 Combine like terms: -12 + 20 = 8 8 + 4a + 12a = 0 Combine like terms: 4a + 12a = 16a 8 + 16a = 0 Solving 8 + 16a = 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 + 16a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16a = 0 + -8 16a = 0 + -8 Combine like terms: 0 + -8 = -8 16a = -8 Divide each side by '16'. a = -0.5 Simplifying a = -0.5
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