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Simplifying 2(4a + -8) = 16 + 4a Reorder the terms: 2(-8 + 4a) = 16 + 4a (-8 * 2 + 4a * 2) = 16 + 4a (-16 + 8a) = 16 + 4a Solving -16 + 8a = 16 + 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. -16 + 8a + -4a = 16 + 4a + -4a Combine like terms: 8a + -4a = 4a -16 + 4a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 -16 + 4a = 16 + 0 -16 + 4a = 16 Add '16' to each side of the equation. -16 + 16 + 4a = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 4a = 16 + 16 4a = 16 + 16 Combine like terms: 16 + 16 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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