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Simplifying 3a + 8 + 2a = a + -9 + 1 Reorder the terms: 8 + 3a + 2a = a + -9 + 1 Combine like terms: 3a + 2a = 5a 8 + 5a = a + -9 + 1 Reorder the terms: 8 + 5a = -9 + 1 + a Combine like terms: -9 + 1 = -8 8 + 5a = -8 + a Solving 8 + 5a = -8 + 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 + 5a + -1a = -8 + a + -1a Combine like terms: 5a + -1a = 4a 8 + 4a = -8 + a + -1a Combine like terms: a + -1a = 0 8 + 4a = -8 + 0 8 + 4a = -8 Add '-8' to each side of the equation. 8 + -8 + 4a = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = -8 + -8 4a = -8 + -8 Combine like terms: -8 + -8 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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