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Simplifying 2(a + -4) = 1 + -1a Reorder the terms: 2(-4 + a) = 1 + -1a (-4 * 2 + a * 2) = 1 + -1a (-8 + 2a) = 1 + -1a Solving -8 + 2a = 1 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -8 + 2a + a = 1 + -1a + a Combine like terms: 2a + a = 3a -8 + 3a = 1 + -1a + a Combine like terms: -1a + a = 0 -8 + 3a = 1 + 0 -8 + 3a = 1 Add '8' to each side of the equation. -8 + 8 + 3a = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3a = 1 + 8 3a = 1 + 8 Combine like terms: 1 + 8 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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