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Simplifying 2(a + -2) = 2(4 + -2a) Reorder the terms: 2(-2 + a) = 2(4 + -2a) (-2 * 2 + a * 2) = 2(4 + -2a) (-4 + 2a) = 2(4 + -2a) -4 + 2a = (4 * 2 + -2a * 2) -4 + 2a = (8 + -4a) Solving -4 + 2a = 8 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -4 + 2a + 4a = 8 + -4a + 4a Combine like terms: 2a + 4a = 6a -4 + 6a = 8 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + 6a = 8 + 0 -4 + 6a = 8 Add '4' to each side of the equation. -4 + 4 + 6a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6a = 8 + 4 6a = 8 + 4 Combine like terms: 8 + 4 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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