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Simplifying 3a + 28 = 82 + -6a Reorder the terms: 28 + 3a = 82 + -6a Solving 28 + 3a = 82 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 28 + 3a + 6a = 82 + -6a + 6a Combine like terms: 3a + 6a = 9a 28 + 9a = 82 + -6a + 6a Combine like terms: -6a + 6a = 0 28 + 9a = 82 + 0 28 + 9a = 82 Add '-28' to each side of the equation. 28 + -28 + 9a = 82 + -28 Combine like terms: 28 + -28 = 0 0 + 9a = 82 + -28 9a = 82 + -28 Combine like terms: 82 + -28 = 54 9a = 54 Divide each side by '9'. a = 6 Simplifying a = 6
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