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Simplifying 6a + -1(2a + 8) + 16 = 0 Reorder the terms: 6a + -1(8 + 2a) + 16 = 0 6a + (8 * -1 + 2a * -1) + 16 = 0 6a + (-8 + -2a) + 16 = 0 Reorder the terms: -8 + 16 + 6a + -2a = 0 Combine like terms: -8 + 16 = 8 8 + 6a + -2a = 0 Combine like terms: 6a + -2a = 4a 8 + 4a = 0 Solving 8 + 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = 0 + -8 4a = 0 + -8 Combine like terms: 0 + -8 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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