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Simplifying 5a + 2 = 6 + -7a Reorder the terms: 2 + 5a = 6 + -7a Solving 2 + 5a = 6 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 2 + 5a + 7a = 6 + -7a + 7a Combine like terms: 5a + 7a = 12a 2 + 12a = 6 + -7a + 7a Combine like terms: -7a + 7a = 0 2 + 12a = 6 + 0 2 + 12a = 6 Add '-2' to each side of the equation. 2 + -2 + 12a = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 12a = 6 + -2 12a = 6 + -2 Combine like terms: 6 + -2 = 4 12a = 4 Divide each side by '12'. a = 0.3333333333 Simplifying a = 0.3333333333
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