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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 = -6a -8 + 2a = -4 + -6a Solving -8 + 2a = -4 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -8 + 2a + 6a = -4 + -6a + 6a Combine like terms: 2a + 6a = 8a -8 + 8a = -4 + -6a + 6a Combine like terms: -6a + 6a = 0 -8 + 8a = -4 + 0 -8 + 8a = -4 Add '8' to each side of the equation. -8 + 8 + 8a = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 8a = -4 + 8 8a = -4 + 8 Combine like terms: -4 + 8 = 4 8a = 4 Divide each side by '8'. a = 0.5 Simplifying a = 0.5
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