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Simplifying 7a + -8 = 5a + 12 Reorder the terms: -8 + 7a = 5a + 12 Reorder the terms: -8 + 7a = 12 + 5a Solving -8 + 7a = 12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -8 + 7a + -5a = 12 + 5a + -5a Combine like terms: 7a + -5a = 2a -8 + 2a = 12 + 5a + -5a Combine like terms: 5a + -5a = 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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