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Simplifying 2a + 6 + -2 + 4a = 16 + 4 + -2a Reorder the terms: 6 + -2 + 2a + 4a = 16 + 4 + -2a Combine like terms: 6 + -2 = 4 4 + 2a + 4a = 16 + 4 + -2a Combine like terms: 2a + 4a = 6a 4 + 6a = 16 + 4 + -2a Combine like terms: 16 + 4 = 20 4 + 6a = 20 + -2a Solving 4 + 6a = 20 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 4 + 6a + 2a = 20 + -2a + 2a Combine like terms: 6a + 2a = 8a 4 + 8a = 20 + -2a + 2a Combine like terms: -2a + 2a = 0 4 + 8a = 20 + 0 4 + 8a = 20 Add '-4' to each side of the equation. 4 + -4 + 8a = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = 20 + -4 8a = 20 + -4 Combine like terms: 20 + -4 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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