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Simplifying -2(a + -4) + -1(5 + -2(2a + -5)) = 0 Reorder the terms: -2(-4 + a) + -1(5 + -2(2a + -5)) = 0 (-4 * -2 + a * -2) + -1(5 + -2(2a + -5)) = 0 (8 + -2a) + -1(5 + -2(2a + -5)) = 0 Reorder the terms: 8 + -2a + -1(5 + -2(-5 + 2a)) = 0 8 + -2a + -1(5 + (-5 * -2 + 2a * -2)) = 0 8 + -2a + -1(5 + (10 + -4a)) = 0 Combine like terms: 5 + 10 = 15 8 + -2a + -1(15 + -4a) = 0 8 + -2a + (15 * -1 + -4a * -1) = 0 8 + -2a + (-15 + 4a) = 0 Reorder the terms: 8 + -15 + -2a + 4a = 0 Combine like terms: 8 + -15 = -7 -7 + -2a + 4a = 0 Combine like terms: -2a + 4a = 2a -7 + 2a = 0 Solving -7 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 0 + 7 2a = 0 + 7 Combine like terms: 0 + 7 = 7 2a = 7 Divide each side by '2'. a = 3.5 Simplifying a = 3.5
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