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Simplifying -3a + 8 + 5a = 2a + -4a Reorder the terms: 8 + -3a + 5a = 2a + -4a Combine like terms: -3a + 5a = 2a 8 + 2a = 2a + -4a Combine like terms: 2a + -4a = -2a 8 + 2a = -2a Solving 8 + 2a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 8 + 2a + 2a = -2a + 2a Combine like terms: 2a + 2a = 4a 8 + 4a = -2a + 2a Combine like terms: -2a + 2a = 0 8 + 4a = 0 Add '-8' to each side of the equation. 8 + -8 + 4a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = 0 + -8 4a = 0 + -8 Combine like terms: 0 + -8 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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