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Simplifying a + -2 = 2(8 + -4a) Reorder the terms: -2 + a = 2(8 + -4a) -2 + a = (8 * 2 + -4a * 2) -2 + a = (16 + -8a) Solving -2 + a = 16 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -2 + a + 8a = 16 + -8a + 8a Combine like terms: a + 8a = 9a -2 + 9a = 16 + -8a + 8a Combine like terms: -8a + 8a = 0 -2 + 9a = 16 + 0 -2 + 9a = 16 Add '2' to each side of the equation. -2 + 2 + 9a = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 9a = 16 + 2 9a = 16 + 2 Combine like terms: 16 + 2 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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