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Simplifying 3a + -8 = a + 12 Reorder the terms: -8 + 3a = a + 12 Reorder the terms: -8 + 3a = 12 + a Solving -8 + 3a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + 3a + -1a = 12 + a + -1a Combine like terms: 3a + -1a = 2a -8 + 2a = 12 + a + -1a Combine like terms: a + -1a = 0 -8 + 2a = 12 + 0 -8 + 2a = 12 Add '8' to each side of the equation. -8 + 8 + 2a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = 12 + 8 2a = 12 + 8 Combine like terms: 12 + 8 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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