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Simplifying -2(a + -4) = 4a + -1(2a + 4) Reorder the terms: -2(-4 + a) = 4a + -1(2a + 4) (-4 * -2 + a * -2) = 4a + -1(2a + 4) (8 + -2a) = 4a + -1(2a + 4) Reorder the terms: 8 + -2a = 4a + -1(4 + 2a) 8 + -2a = 4a + (4 * -1 + 2a * -1) 8 + -2a = 4a + (-4 + -2a) Reorder the terms: 8 + -2a = -4 + 4a + -2a Combine like terms: 4a + -2a = 2a 8 + -2a = -4 + 2a Solving 8 + -2a = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 8 + -2a + -2a = -4 + 2a + -2a Combine like terms: -2a + -2a = -4a 8 + -4a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + -4a = -4 + 0 8 + -4a = -4 Add '-8' to each side of the equation. 8 + -8 + -4a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4a = -4 + -8 -4a = -4 + -8 Combine like terms: -4 + -8 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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