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Simplifying 20 + 6a + -12 = 5a + 15 Reorder the terms: 20 + -12 + 6a = 5a + 15 Combine like terms: 20 + -12 = 8 8 + 6a = 5a + 15 Reorder the terms: 8 + 6a = 15 + 5a Solving 8 + 6a = 15 + 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 + 6a + -5a = 15 + 5a + -5a Combine like terms: 6a + -5a = 1a 8 + 1a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 8 + 1a = 15 + 0 8 + 1a = 15 Add '-8' to each side of the equation. 8 + -8 + 1a = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 15 + -8 1a = 15 + -8 Combine like terms: 15 + -8 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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