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Simplifying 6a + 2 = 5 + 3a Reorder the terms: 2 + 6a = 5 + 3a Solving 2 + 6a = 5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 2 + 6a + -3a = 5 + 3a + -3a Combine like terms: 6a + -3a = 3a 2 + 3a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 3a = 5 + 0 2 + 3a = 5 Add '-2' to each side of the equation. 2 + -2 + 3a = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 5 + -2 3a = 5 + -2 Combine like terms: 5 + -2 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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