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Simplifying 5a + 6 = 2a + 12 Reorder the terms: 6 + 5a = 2a + 12 Reorder the terms: 6 + 5a = 12 + 2a Solving 6 + 5a = 12 + 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. 6 + 5a + -2a = 12 + 2a + -2a Combine like terms: 5a + -2a = 3a 6 + 3a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + 3a = 12 + 0 6 + 3a = 12 Add '-6' to each side of the equation. 6 + -6 + 3a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 12 + -6 3a = 12 + -6 Combine like terms: 12 + -6 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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