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Simplifying 6a + 2a + -14(4a + -8) = 16 Reorder the terms: 6a + 2a + -14(-8 + 4a) = 16 6a + 2a + (-8 * -14 + 4a * -14) = 16 6a + 2a + (112 + -56a) = 16 Reorder the terms: 112 + 6a + 2a + -56a = 16 Combine like terms: 6a + 2a = 8a 112 + 8a + -56a = 16 Combine like terms: 8a + -56a = -48a 112 + -48a = 16 Solving 112 + -48a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -48a = 16 + -112 Combine like terms: 112 + -112 = 0 0 + -48a = 16 + -112 -48a = 16 + -112 Combine like terms: 16 + -112 = -96 -48a = -96 Divide each side by '-48'. a = 2 Simplifying a = 2
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