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Simplifying 3a + 8 + -2a = 20 + -1a Reorder the terms: 8 + 3a + -2a = 20 + -1a Combine like terms: 3a + -2a = 1a 8 + 1a = 20 + -1a Solving 8 + 1a = 20 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 8 + 1a + a = 20 + -1a + a Combine like terms: 1a + a = 2a 8 + 2a = 20 + -1a + a Combine like terms: -1a + a = 0 8 + 2a = 20 + 0 8 + 2a = 20 Add '-8' to each side of the equation. 8 + -8 + 2a = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 20 + -8 2a = 20 + -8 Combine like terms: 20 + -8 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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